Classification of finite congruence-simple semirings with zero

Details Classification of finite congruence-simple semirings with zero Classification of finite congruence-simple semirings with zero

2007-02-14

arxiv.org/abs/math/0702416v1

Mathematics

Rings and Algebras

16 pages

Scientific paper

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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