满足置换恒等式的强wrpp半群的性质和特征  

Some Properties and Characterizations of Strongly wrpp Semigroups which Satisfy Permutation Identities

作　　者：任秀[1] 姜秀燕[1] 孙凤芝[1] 

机构地区：[1]大庆师范学院数学系,黑龙江大庆163712

出　　处：《长春师范学院学报（自然科学版）》2007年第3期7-9,共3页Journal of Changchun Teachers College

摘　　要：通过引入满足置换恒等式的强wrpp半群的定义,得到了满足置换恒等式的强wrpp半群的一些性质。通过引入正规带上的最小半格同余ε,证明了当E(S)是矩形带时,满足置换恒等式的强wrpp半群是交换R-左可消幺半群与矩形带的直积。In this paper, we introduce strongly wrpp semigroups which satisfy permutation identities. Then we obtain some properties for such semigroups. By introducing the minisemilattice congruence ε on the normal band B, on the condition of E（S） being a rectangular band, it is shown that a strongly wrpp semigroup,which satisfies permutation identities, is the direct product of a commutative p - left cancellative monoids and a rectangular band.

关 键 词：WRPP半群 强WRPP半群 满足置换恒等式强wrpp半群 

分 类 号：O152.7[理学—数学]