C(P')系对幺半群的刻画

doi:10.6040/j.issn.1671-9352.0.2017.512

山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (10): 9-13.doi: 10.6040/j.issn.1671-9352.0.2017.512

C(P')系对幺半群的刻画

梁星亮,吴苏朋,任军

陕西科技大学数学系, 陕西西安 710021

收稿日期:2017-10-01 出版日期:2018-10-20 发布日期:2018-10-09
作者简介:梁星亮(1987— ),男,博士,讲师,研究方向为半群代数理论. E-mail:lxl_119@126.com
基金资助:
陕西省自然科学基础研究计划项目(2017JQ1026);陕西省教育厅自然科学研究项目(17JK0102)

Characterization of monoids by C(P')acts

LIANG Xing-liang, WU Su-peng, REN Jun

Department of Mathematics, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China

Received:2017-10-01 Online:2018-10-20 Published:2018-10-09

摘要/Abstract

摘要： 设S是幺半群。借助环模理论的方法,在S-系范畴中引入了C(P')系。通过C(P')性质主要刻画了P(P')幺半群、周期幺半群的结构特征,进而推广了C(P)系的一些重要结果,对进一步研究正则性质在S-系中的作用具有重要意义。

关键词: P(P')幺半群, 周期幺半群, S-系, C(P')系

Abstract: Let S be a monoid. By using ring theory and module theory, C(P')right S-acts in the category of S-acts are introduced, and some important monoids, such as P(P')monoids, periodic monoids and so on, are characterized by C(P')property of S-acts. Further, some important results on C(P)right S-acts are extended. Meanwhile, an important significance to the application of regularity in S-acts is presented.

Key words: periodic monoid, C(P')act, P(P')monoid, S-act

中图分类号:

O152.7

梁星亮,吴苏朋,任军. C(P')系对幺半群的刻画[J]. 山东大学学报（理学版）, 2018, 53(10): 9-13.

LIANG Xing-liang, WU Su-peng, REN Jun. Characterization of monoids by C(P')acts[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 9-13.

参考文献 7

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C(P')系对幺半群的刻画

Characterization of monoids by C(P')acts

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