1 4 Fe b 20 07 Classification of finite congruence - simple semirings with zero
نویسنده
چکیده
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.
منابع مشابه
On finite congruence-simple semirings
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, zeromultiplication rings of prime order, matrix rings over finite fields, ones with trivial addition and those that are additively idempotent.
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