一类幂等元半环的刻画

Characterizations of a Class of Idempotent Semiring

给出了满足附加等式x+xy+x≈x+y,x+xy≈xy的幂等元半环簇I的一个子簇,讨论了该簇中成员的一些性质,并得到了这些性质的几个等价刻画和其成员的Mal’cev积分解。

A subvariety of idempotent semiring variety which satisfies the additional identity and is given in this paper.Some properties of members of this subvariety are discussed.Moreover,some equivalent depicts of these properties and the Mal'cev product docomposition of the semiring which belong to this subvariety are obtained.