On the Property of Subalgebras of Evolution Algebras View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

L. M. Camacho, A. Kh. Khudoyberdiyev, B. A. Omirov

ABSTRACT

In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to the description of such non-nilpotent algebras. More... »

PAGES

281-296

References to SciGraph publications

  • 2011-10. Evolution algebras generated by Gibbs measures in LOBACHEVSKII JOURNAL OF MATHEMATICS
  • 2014-07. Dibaric and evolution algebras in biology in LOBACHEVSKII JOURNAL OF MATHEMATICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10468-018-9767-7

    DOI

    http://dx.doi.org/10.1007/s10468-018-9767-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1100709135


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of Seville", 
              "id": "https://www.grid.ac/institutes/grid.9224.d", 
              "name": [
                "Departamento Matem\u00e1tica Aplicada I, Universidad de Sevilla, Avda, Reina Mercedes, 41012, Sevilla, Spain"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Camacho", 
            "givenName": "L. M.", 
            "id": "sg:person.014442057551.65", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014442057551.65"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "National University of Uzbekistan", 
              "id": "https://www.grid.ac/institutes/grid.23471.33", 
              "name": [
                "Institute of Mathematics, National University of Uzbekistan, 100125, Tashkent, Uzbekistan"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Khudoyberdiyev", 
            "givenName": "A. Kh.", 
            "id": "sg:person.011454316641.20", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011454316641.20"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "National University of Uzbekistan", 
              "id": "https://www.grid.ac/institutes/grid.23471.33", 
              "name": [
                "Institute of Mathematics, National University of Uzbekistan, 100125, Tashkent, Uzbekistan"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Omirov", 
            "givenName": "B. A.", 
            "id": "sg:person.014500267073.48", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014500267073.48"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.laa.2011.02.012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010672415"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s199508021403007x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011029369", 
              "https://doi.org/10.1134/s199508021403007x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0273-0979-97-00712-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013445025"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s1995080211040202", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020328180", 
              "https://doi.org/10.1134/s1995080211040202"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0370164600012323", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022515841"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0080455x00011334", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023700365"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4134/bkms.2013.50.5.1481", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035553646"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/03081087.2012.678342", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040222270"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.laa.2013.03.006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043792424"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s021949881550053x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062996484"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s1005386714000285", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1063013270"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1109710797", 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1109710797", 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-04", 
        "datePublishedReg": "2019-04-01", 
        "description": "In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to the description of such non-nilpotent algebras.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s10468-018-9767-7", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1136385", 
            "issn": [
              "1386-923X", 
              "1572-9079"
            ], 
            "name": "Algebras and Representation Theory", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "22"
          }
        ], 
        "name": "On the Property of Subalgebras of Evolution Algebras", 
        "pagination": "281-296", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "1d118d5870dd3b5c07f278d8c2edc1f62d4c41da906206233afa792f2a19f92d"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10468-018-9767-7"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1100709135"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10468-018-9767-7", 
          "https://app.dimensions.ai/details/publication/pub.1100709135"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T11:17", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000354_0000000354/records_11698_00000002.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs10468-018-9767-7"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10468-018-9767-7'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10468-018-9767-7'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10468-018-9767-7'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10468-018-9767-7'


     

    This table displays all metadata directly associated to this object as RDF triples.

    115 TRIPLES      21 PREDICATES      39 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10468-018-9767-7 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N2db4ba1df995485f89880aed1475f0a9
    4 schema:citation sg:pub.10.1134/s1995080211040202
    5 sg:pub.10.1134/s199508021403007x
    6 https://app.dimensions.ai/details/publication/pub.1109710797
    7 https://doi.org/10.1016/j.laa.2011.02.012
    8 https://doi.org/10.1016/j.laa.2013.03.006
    9 https://doi.org/10.1017/s0080455x00011334
    10 https://doi.org/10.1017/s0370164600012323
    11 https://doi.org/10.1080/03081087.2012.678342
    12 https://doi.org/10.1090/s0273-0979-97-00712-x
    13 https://doi.org/10.1142/s021949881550053x
    14 https://doi.org/10.1142/s1005386714000285
    15 https://doi.org/10.4134/bkms.2013.50.5.1481
    16 schema:datePublished 2019-04
    17 schema:datePublishedReg 2019-04-01
    18 schema:description In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to the description of such non-nilpotent algebras.
    19 schema:genre research_article
    20 schema:inLanguage en
    21 schema:isAccessibleForFree true
    22 schema:isPartOf N680229449c2b4f8fa3ec5e551b743a46
    23 N68f7a9dfe2684f649dd4679009a930b0
    24 sg:journal.1136385
    25 schema:name On the Property of Subalgebras of Evolution Algebras
    26 schema:pagination 281-296
    27 schema:productId N3eef4288564b4e968b85d00ad7ceaf7a
    28 N68ad46e6a96e4eee9af8dd8fd67f8016
    29 Ne073eef101ab46a990fa47e730d95b4b
    30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100709135
    31 https://doi.org/10.1007/s10468-018-9767-7
    32 schema:sdDatePublished 2019-04-11T11:17
    33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    34 schema:sdPublisher Nbc47ec476e2d446caca2e0a9f5f9ac58
    35 schema:url https://link.springer.com/10.1007%2Fs10468-018-9767-7
    36 sgo:license sg:explorer/license/
    37 sgo:sdDataset articles
    38 rdf:type schema:ScholarlyArticle
    39 N2db4ba1df995485f89880aed1475f0a9 rdf:first sg:person.014442057551.65
    40 rdf:rest Na2a6d84f196e46ee8415999bfcd4dae2
    41 N3eef4288564b4e968b85d00ad7ceaf7a schema:name readcube_id
    42 schema:value 1d118d5870dd3b5c07f278d8c2edc1f62d4c41da906206233afa792f2a19f92d
    43 rdf:type schema:PropertyValue
    44 N680229449c2b4f8fa3ec5e551b743a46 schema:issueNumber 2
    45 rdf:type schema:PublicationIssue
    46 N68ad46e6a96e4eee9af8dd8fd67f8016 schema:name doi
    47 schema:value 10.1007/s10468-018-9767-7
    48 rdf:type schema:PropertyValue
    49 N68f7a9dfe2684f649dd4679009a930b0 schema:volumeNumber 22
    50 rdf:type schema:PublicationVolume
    51 Na2a6d84f196e46ee8415999bfcd4dae2 rdf:first sg:person.011454316641.20
    52 rdf:rest Ne27bae85fa844f5a96c63d0da00e0e03
    53 Nbc47ec476e2d446caca2e0a9f5f9ac58 schema:name Springer Nature - SN SciGraph project
    54 rdf:type schema:Organization
    55 Ne073eef101ab46a990fa47e730d95b4b schema:name dimensions_id
    56 schema:value pub.1100709135
    57 rdf:type schema:PropertyValue
    58 Ne27bae85fa844f5a96c63d0da00e0e03 rdf:first sg:person.014500267073.48
    59 rdf:rest rdf:nil
    60 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    61 schema:name Mathematical Sciences
    62 rdf:type schema:DefinedTerm
    63 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    64 schema:name Pure Mathematics
    65 rdf:type schema:DefinedTerm
    66 sg:journal.1136385 schema:issn 1386-923X
    67 1572-9079
    68 schema:name Algebras and Representation Theory
    69 rdf:type schema:Periodical
    70 sg:person.011454316641.20 schema:affiliation https://www.grid.ac/institutes/grid.23471.33
    71 schema:familyName Khudoyberdiyev
    72 schema:givenName A. Kh.
    73 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011454316641.20
    74 rdf:type schema:Person
    75 sg:person.014442057551.65 schema:affiliation https://www.grid.ac/institutes/grid.9224.d
    76 schema:familyName Camacho
    77 schema:givenName L. M.
    78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014442057551.65
    79 rdf:type schema:Person
    80 sg:person.014500267073.48 schema:affiliation https://www.grid.ac/institutes/grid.23471.33
    81 schema:familyName Omirov
    82 schema:givenName B. A.
    83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014500267073.48
    84 rdf:type schema:Person
    85 sg:pub.10.1134/s1995080211040202 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020328180
    86 https://doi.org/10.1134/s1995080211040202
    87 rdf:type schema:CreativeWork
    88 sg:pub.10.1134/s199508021403007x schema:sameAs https://app.dimensions.ai/details/publication/pub.1011029369
    89 https://doi.org/10.1134/s199508021403007x
    90 rdf:type schema:CreativeWork
    91 https://app.dimensions.ai/details/publication/pub.1109710797 schema:CreativeWork
    92 https://doi.org/10.1016/j.laa.2011.02.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010672415
    93 rdf:type schema:CreativeWork
    94 https://doi.org/10.1016/j.laa.2013.03.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043792424
    95 rdf:type schema:CreativeWork
    96 https://doi.org/10.1017/s0080455x00011334 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023700365
    97 rdf:type schema:CreativeWork
    98 https://doi.org/10.1017/s0370164600012323 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022515841
    99 rdf:type schema:CreativeWork
    100 https://doi.org/10.1080/03081087.2012.678342 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040222270
    101 rdf:type schema:CreativeWork
    102 https://doi.org/10.1090/s0273-0979-97-00712-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1013445025
    103 rdf:type schema:CreativeWork
    104 https://doi.org/10.1142/s021949881550053x schema:sameAs https://app.dimensions.ai/details/publication/pub.1062996484
    105 rdf:type schema:CreativeWork
    106 https://doi.org/10.1142/s1005386714000285 schema:sameAs https://app.dimensions.ai/details/publication/pub.1063013270
    107 rdf:type schema:CreativeWork
    108 https://doi.org/10.4134/bkms.2013.50.5.1481 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035553646
    109 rdf:type schema:CreativeWork
    110 https://www.grid.ac/institutes/grid.23471.33 schema:alternateName National University of Uzbekistan
    111 schema:name Institute of Mathematics, National University of Uzbekistan, 100125, Tashkent, Uzbekistan
    112 rdf:type schema:Organization
    113 https://www.grid.ac/institutes/grid.9224.d schema:alternateName University of Seville
    114 schema:name Departamento Matem√°tica Aplicada I, Universidad de Sevilla, Avda, Reina Mercedes, 41012, Sevilla, Spain
    115 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...