On finite congruence-simple semirings

Details On finite congruence-simple semirings On finite congruence-simple semirings

2002-05-08

arxiv.org/abs/math/0205083v2

Mathematics

Rings and Algebras

10 pages, 2 tables. Eariler version had an erroneous proof, and missed some semirings in the main theorem

Scientific paper

In this paper, we describe finite, additively commutative, congruence simple
semirings. The main result is that the only such semirings are those of order
2, zero-multiplication rings of prime order, matrix rings over finite fields,
those that are additively idempotent, and those with trivial addition.

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