THE STRUCTURE OF ORTHO-LC-MONOIDS

Release time:2024-08-09  Hits:

• Affiliation of Author(s):理学院
• Journal:Communications in Algebra
• Key Words: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-
• Abstract: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.
• Note:宫春梅
• Co-author:郭聿琦
• First Author:任学明,gongchunmei
• Indexed by:Journal paper
• Volume:卷：39
• Issue:期：11
• Page Number:页：4374-4389
• Translation or Not:no
• Date of Publication:2011-11-01