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On V-semirings and semirings all of whose cyclic semimodules are injective
Authors
Abuhlail J.
Il’in S.
Katsov Y.
Nam T.
Publication date
29 February 2020
Publisher
Abstract
© Taylor & Francis Group, LLC. In this article, we introduce and study V-and CI-semirings—semirings all of whose simple and cyclic, respectively, semimodules are injective. We describe Vsemirings for some classes of semirings and establish some fundamental properties of V-semirings. We show that all Jacobson-semisimple V-semirings are V-rings. We also completely describe the bounded distributive lattices, Gelfand, subtractive, semisimple, and antibounded, semirings that are CI-semirings. Applying these results, we give complete characterizations of congruence-simple subtractive and congruence-simple antibounded CI-semirings which solve two earlier open problems for these classes of CI-semirings
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National Open Repository Aggregator (NORA)
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oai:rour.neicon.ru:rour/179753
Last time updated on 04/04/2020
National Open Repository Aggregator (NORA)
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:rour.neicon.ru:rour/130438
Last time updated on 04/04/2020