科研之友
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摘要
Let S be a semigroup and F be a field. For an ideal J of the semigroup algebra F[S] of S over F, let J denote the restriction ( to S) of the congruence on F[S] defined by the ideal J. A semigroup S is called a permutable semigroup if alpha o beta = beta o alpha is satisfied for all congruences alpha and beta of S. In this paper we show that if S is a semilattice or a rectangular band then phi({S;F}) : J -> (sic)(J) is a homomorphism of the semigroup (Con(F[S]; o) into the relation semigroup (B-S; o) if and only if S is a permutable semigroup.
- 出版日期2016
