P-析取正则*-半群

P-disjunctive*-semigroup

针对Petrich M在《Inverse Semigroup》一书中所给出的E-析取逆半群及其公开问题"研究E-析取逆半群",从正则*-半群的角度给出了所谓的P-析取正则*-半群,而且对于这一类半群,作者利用L*循环列和核-迹两种方法给出了P-析取正则*-半群的两个不同的等价刻画,也即是给出了文献[4]中的结论的一些推广.

In ＂Inverse junctive inverse semigroup. Semigroup＂, an open problem： has been given, which is to study the so called E-disjunctive inverse semigroup. The aim of this paper is to construct a new type of regular ^＊ -semigroup： P-disjunctive regular ^＊-semigroup. Moreover, for this kind of semigroup, the author gives two difference characterizations of Pdisjunctive regular^＊ -semigroup by circulate L^＊ -sequence and Kernel-Trace methods which is a generalization of the results of Yonghua Li and Moucheng Zhang.