具有可乘逆断面的正则半群上的预同态和限制积  

Prehomomorphisms and restricted products of regular semigroups with a multiplicative inverse transversal

作　　者：王守峰[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《山东大学学报（理学版）》2017年第8期90-93,99,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11661082)

摘　　要：介绍了具有可乘逆断面的正则半群上的预同态及限制积的概念,证明了具有可乘逆断面的正则半群类连同其上面的预同态构成一个范畴,利用限制积得到了这类半群上的预同态的一些刻画。Prehomomorphisms and restricted products of regular semigroups with a multiplicative inverse transversal are introduced. It is proved that the class of regular semigroups with a multiplicative inverse transversal together with preho- momorphisms form a category, by using restricted products some characterizations of prehomomorphisms between two regular semigroups with a multiplicative inverse transversal are obtained.

关 键 词：正则半群 可乘逆断面 预同态 限制积 范畴 

分 类 号：O152.7[理学—数学]