格序代数自同态核性质研究概论  

A Study of Lattice-ordered Algebras with Endomorphism Kernel Property

作　　者：方捷 FANG Jie(School of Mathematics and System Science, Guangdong Polytechnic Normal . University, Guangzhou Guangdong 510665)

机构地区：[1]广东技术师范大学数学与系统科学学院

出　　处：《广东技术师范学院学报》2019年第3期1-5,共5页Journal of Guangdong Polytechnic Normal University

摘　　要：称代数A上的一个自同态是强自同态,如果它与A的每个同余都相容.如果除泛同余关系外,A的每个同余都是一个(强)自同态的核,则称A有(强)自同态核性质.本文概述了具有自同态核或强自同态核性质的格序代数的结构定理,诸如deMorgan代数,MS-代数,双重MS-代数,p-代数和双重p-代数等.An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A;and A is said to have the (strong) endomorphism kernel property if every congruence on A, other than the universal congruence, is a kernel of (strong) endomorphism on A. In this paper, a study is done on the structure characterisations for some lattice-ordered algebras with endomorphism (or strong endomorphism) kernel property, such as de Morgan algebras, MS-algebras, double MS-algebras, p-algebras and double p-algebras,etc.

关 键 词：格序代数 自同态 核 

分 类 号：O153.1[理学—数学] O153.2[理学—基础数学]