强忠实S-系对幺半群的刻画

doi:10.6040/j.issn.1671-9352.0.2018.447

《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (6): 21-24.doi: 10.6040/j.issn.1671-9352.0.2018.447

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强忠实S-系对幺半群的刻画

乔虎生,陈倩^*

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2019-06-05
作者简介:乔虎生(1974— ), 男, 博士, 教授, 研究方向为半群代数理论. E-mail:gsqiaohsh@163.com*通信作者简介:陈倩(1994— ), 女, 硕士研究生, 研究方向为半群代数理论. E-mail:2030998911@qq.com
基金资助:
国家自然科学基金资助项目(11461060);甘肃省高校基本科研业务费

Characterization of monoids by strong faithful S-acts

QIAO Hu-sheng, CHEN Qian^*

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Published:2019-06-05

摘要/Abstract

摘要： 设S是幺半群,研究了强忠实S-系的新性质, 并讨论了强忠实性与平坦性质的同调分类问题。

关键词: 强忠实S-系, 平坦性, 同调分类

Abstract: Let S be a monoid. The new properties of strong faithful S-acts are investigated, and the homological classification problem of strong faithful property and flatness properties are discussed.

Key words: strong faithful S-acts, flatness, homological classification

中图分类号:

O152.7

乔虎生,陈倩. 强忠实S-系对幺半群的刻画[J]. 《山东大学学报(理学版)》, 2019, 54(6): 21-24.

QIAO Hu-sheng, CHEN Qian. Characterization of monoids by strong faithful S-acts[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(6): 21-24.

参考文献

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[5] KILP M, KNAUER U, MIKHALEV A V. Monoids acts and categories[M]. Berlin: Walter de Gruyter, 2000.
[6] 刘仲奎, 乔虎生. 半群的S-系理论[M]. 北京: 科学出版社, 2008. LIU Zhongkui, QIAO Husheng. Theory of S-acts of semigroups[M]. Beijing: Science Press, 2008.

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强忠实S-系对幺半群的刻画

Characterization of monoids by strong faithful S-acts

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