Ortho-u-monoids

Release time:2024-08-09  Hits:

• Affiliation of Author(s):理学院
• Journal:Acta Mathematica Sinica,English Series
• Key Words:中文关键字：（~）-格林关系；超E(S)半富足半群；纯正幂幺半群并半群；半织积，英文关键字：（~）-Green's relations；super E(S)-semiabundant semi
• Abstract:In this paper, we study the class of ortho-u-monoids which are generalized orthogroups within the class of E(S)-semiabundant semigroups. After introducing the concept of (~)-Green’s relations, and obtaining some important properties of (~)-Green’s relations and super E(S)-semiabundant semigroups, we have given the semilattice decomposition of ortho-u-monoids and a structure theorem for regular ortho-u-monoids. The main techniques that we used in the study are the (~)-Green’s relations, and the semi-spined product of semigroups.
• Note:宫春梅
• Co-author:郭聿琦,岑嘉评
• First Author:gongchunmei
• Indexed by:Journal paper
• Volume:卷：27
• Issue:期：5
• Page Number:页：831-844
• Translation or Not:no
• Date of Publication:2011-05-01