K-分离性质对幺半群的刻画  

Characterizations of monoids by K-separation property

作　　者：王雅婷 乔虎生 WANG Ya-ting;QIAO Hu-sheng(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2022年第6期31-35,43,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11961058)。

摘　　要：设S是幺半群,K是S的任意非空子集,研究了Rees商和融合余积的K-分离性质,给出了拉回图对K-分离性质的刻画,并且讨论了K-分离性质关于自由(投射,主弱平坦)Rees商S-系的同调分类问题。Let S be a monoid, K be an arbitrary non-empty subset of S. This paper studies the K-separation properties of Rees factors and amalgamated coproducts, gives the characterizations of K-separation property by pullback diagrams, and discusses the homological classification problem of K-separation property on free(projective, principally weakly flat) Rees factor S-acts.

关 键 词：K-分离 主弱平坦 挠自由 

分 类 号：O152.7[理学—数学]