Classification of finite congruence-simple semirings with zero

Zumbrägel, J (2008). Classification of finite congruence-simple semirings with zero. Journal of Algebra and its Applications, 7(3):363-377.

Abstract

Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a dense' subsemiring of the endomorphism semiring of a finite idempotent commutative monoid.
We also investigate those subsemirings further, addressing e.g. the question of isomorphy.

Abstract

Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a dense' subsemiring of the endomorphism semiring of a finite idempotent commutative monoid.
We also investigate those subsemirings further, addressing e.g. the question of isomorphy.

Statistics

Citations

Dimensions.ai Metrics
34 citations in Web of Science®
34 citations in Scopus®

Altmetrics

183 downloads since deposited on 20 Jan 2009
Detailed statistics

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics Physical Sciences > Algebra and Number Theory Physical Sciences > Applied Mathematics English 2008 20 Jan 2009 15:19 29 Jul 2020 17:02 World Scientific Publishing 0219-4988 Electronic version of an article published as Journal of Algebra and its Applications, Volume 7, Issue 3 (2008), p. 363-377, DOI: 10.1142/S0219498808002862 © [copyright World Scientific Publishing Company] http://www.worldscinet.com/jaa/jaa.shtml Green https://doi.org/10.1142/S0219498808002862 http://arxiv.org/abs/math/0702416

Preview
Content: Accepted Version
Filetype: PDF
Size: 1MB
View at publisher