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Zumbrägel, J (2008). Classification of finite congruence-simple semirings with zero. Journal of Algebra and its Applications, 7(3):363-377.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 20 Jan 2009 15:19 |
| Last Modified: | 01 Sep 2024 01:41 |
| 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 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1142/S0219498808002862 |
| Related URLs: | http://arxiv.org/abs/math/0702416 |
Zumbrägel, J