图的强收缩核与图的强自同态幺半群的正则性  

Strong Retracts and the Regularity of Strong Endomorphism Monoids of Graphs

作　　者：樊锁海[1] 

机构地区：[1]暨南大学数学系

出　　处：《Journal of Mathematical Research and Exposition》1998年第1期115-119,共5页数学研究与评论（英文版）

基　　金：国务院侨办重点学科科研基金

摘　　要：本文研究图及其强自同态幺半群．首先刻画了图的强自同态幺半群的正则元，然后给出了此幺半群正则的充要条件．这推广了［１］和［２］中关于有限图的强自同态幺半群正则的结果．Graphs and their strong endomorphism monoids are considered in this paper. First, the regular elements of strong endomorphism monoids of graphs are characterized. Then necessary and sufficient conditions for these monoids to be regular are given. These results generalize that of U.Knauer and Li Weimin about the regularity of strong endomorphism monoids of finite graphs.

关 键 词：图 强自同态 幺半群 强收缩核 正则 

分 类 号：O157.5[理学—数学]