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半群半直积的主投影性质(英文)
引用本文:胡耀华,郭小江.半群半直积的主投影性质(英文)[J].数学杂志,2010,30(1).
作者姓名:胡耀华  郭小江
作者单位:1. 江西师范大学数学与信息科学学院,江西,南昌,330022;珠海城市职业技术学院教学科研处,广东,珠海,519090
2. 江西师范大学数学与信息科学学院,江西,南昌,330022
基金项目: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.

关 键 词:半直积  (右)适当半群  拟适当半群  右型-A半群

THE PRINCIPAL PROJECTIVE PROPERTIES OF SEMIDIRECT PRODUCTS OF MONOIDS
HU Yao-hua,GUO Xiao-jiang.THE PRINCIPAL PROJECTIVE PROPERTIES OF SEMIDIRECT PRODUCTS OF MONOIDS[J].Journal of Mathematics,2010,30(1).
Authors:HU Yao-hua  GUO Xiao-jiang
Institution:HU Yao-hua~(1,2),GUO Xiao-jiang~1 (1.Dept.of Math.,Jiangxi Normal University,Nanchang 330022,China) (2.Dept.of Teaching , Scientific Research,Zhuhai City Polytechnic,Zhuhai 519090,China)
Abstract: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.
Keywords:rpp  semidirect product  right principal projective  (right)adequate semigroup  quasi-adequate semigroup  right type-A
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