Characterization of distributive semigroup operations on the positive real numbers View Full Text


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Article Info

DATE

2019-02-19

AUTHORS

Sin-Ei Takahasi, Takeshi Miura, Hirokazu Oka

ABSTRACT

Given any cancellative continuous semigroup operation ⋆ on the positive real numbers R+ with the ordinary topology, we completely characterize the set D⋆(R+) of all cancellative continuous semigroup operations on R+ which are distributed by ⋆ in terms of homeomorphism. As a consequence, we show that an arbitrary semigroup operation in D⋆(R+) is homeomorphically isomorphic to the ordinary addition + on R+. More... »

PAGES

1-20

References to SciGraph publications

  • 1989-06. The associativity equation revisited in AEQUATIONES MATHEMATICAE
  • 2015-04. Continuous semigroup structures on R, cancellative semigroups and bands in SEMIGROUP FORUM
  • 2013-12. A reconsideration of Jensen’s inequality and its applications in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal

    TITLE

    Semigroup Forum

    ISSUE

    N/A

    VOLUME

    N/A

    From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00233-019-10006-3

    DOI

    http://dx.doi.org/10.1007/s00233-019-10006-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112229662


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