半群半直积的主投影性质(英文)  

THE PRINCIPAL PROJECTIVE PROPERTIES OF SEMIDIRECT PRODUCTS OF MONOIDS

作　　者：胡耀华[1,2] 郭小江[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022 [2]珠海城市职业技术学院教学科研处,广东珠海519090

出　　处：《数学杂志》2010年第1期41-48,共8页Journal of Mathematics

基　　金：Supported by the NSF of Jiangxi Province;the SF of Education Department of Jiangxi Province;the SF of Jiangxi Normal University

摘　　要：本文研究了半群半直积的主投影性质.利用适当半群,获得了右主投影半群半直积的充分和必要条件,推广了半直积的一些结果.In this article, we investigate the principal projective properties of semidirect products of monoids. By the adequate semigroup, we obtain the necessary and sufficient condition for semidirect products of monoids to be right principal projective property of monoid. Our known results strengthen and enrich the results on semidirect products.

关 键 词：半直积 rpp (右)适当半群 拟适当半群 右型-A半群 

分 类 号：O152.7[理学—数学]