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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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2008
Deposited On:20 Jan 2009 15:19
Last Modified:05 Apr 2016 12:44
Publisher:World Scientific Publishing
ISSN:0219-4988
Additional Information: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
Publisher DOI:https://doi.org/10.1142/S0219498808002862
Related URLs:http://arxiv.org/abs/math/0702416

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