Categorical Equivalence Between PMVf-Product Algebras and Semi-Low fu-Rings View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-09-26

AUTHORS

Lilian J. Cruz, Yuri A. Poveda

ABSTRACT

An explicit categorical equivalence is defined between a proper subvariety of the class of PMV-algebras, as defined by Di Nola and Dvurečenskij, to be called PMVf-algebras, and the category of semi-low fu-rings. This categorical representation is done using the prime spectrum of the MV-algebras, through the equivalence between MV-algebras and lu-groups established by Mundici, from the perspective of the Dubuc–Poveda approach, that extends the construction defined by Chang on chains. As a particular case, semi-low fu-rings associated to Boolean algebras are characterized. More... »

PAGES

1-24

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11225-018-9832-6

DOI

http://dx.doi.org/10.1007/s11225-018-9832-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107256444


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