On finite congruence-simple semirings

By C. Monico. 2002

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Abstract 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, ones with trivial addition, and those that are additively idempotent.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/c89968a103d47a7390cc116fbeb503c51a8f5933