由~*-正则半群簇的Mal’cev积生成的簇  

The Varieties of~*-regular Semigroups Generated by Mal’cev Products of Varieties of*-regular Semigroups

作　　者：江中豪[1] 

机构地区：[1]湛江师范学院数学系,湛江524048

出　　处：《数学学报（中文版）》1999年第1期161-166,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金!19761004;广东省博士专项基金

摘　　要：本文试图从泛代数的角度来研究*-正则半群．首先，我们定义了*-关系态射，讨论了它的性质；然后，用*-关系态射作为桥梁，刻划了二个*-正则半群簇的Mal’cev积生成的*-正则半群簇．特别地，我们确定了形如〈uog〉〈uoReB〉，〈uoReg〉的*-正则半群簇．In this paper, we will study*-regular semigroups from a universal perspective. First. we introduce the concept of a*-relational morphism and discuss some properties of*-relational morphisms. Then we describe the varieties of*-regular semigroups generated by Mal’cev products of varieties of*-regular semigroups in terms of *-relational morphisms. Last, using this description, we determine the varieties of the forms (uog), (uoReB) and (uoReg).

关 键 词：^＊-正则半群 簇 ^＊-关系态射 Malcev积 半群 

分 类 号：O152.7[理学—数学]