所属单位：

理学院

发表刊物：

Communications in Algebra

关键字：

中文关键字：纯正左消幺半群并半群，英文关键字：Ortho-lc-monoids; Orthocrypto-lc-monoids; Super-r-

摘要：

The super-r-wide semigroups (in [6], called super-r-ample semigroups) [ortho-lcmonoids] within the class of rpp semigroups form a kind of generalized completely regular semigroups [orthogroups]. In this article, some structure theorems of ortho-lc-monoids are established and some special ortho-lc-monoids such as orthocryptolc-monoids, lc-Clifford semigroups, which we defined, are considered; the semilattice decomposition of super-r-wide semigroups is given. As direct corollaries of the results that we obtained, some new structure theorems for ortho-c-monoids and orthogroups, different from [13] and [10], are given, and hence, the structure theorem for ortho-lc-monoids that we established is not the direct generalization of the results in [13] and [10]; the structure of orthocryptogroups is reobtained; the well-known Clifford theorem is further generalized.

备注：

宫春梅

合写作者：

郭聿琦

第一作者：

任学明,宫春梅

论文类型：

期刊论文

卷号：

卷：39

期号：

期：11

页面范围：

页：4374-4389

是否译文：

否

发表时间：

2011-11-01