On finite congruence-simple semirings
Abstract
Description
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.
10 pages, 2 tables. Eariler version had an erroneous proof, and missed some semirings in the main theorem
10 pages, 2 tables. Eariler version had an erroneous proof, and missed some semirings in the main theorem