对角系的平坦性

doi:10.6040/j.issn.1671-9352.0.2020.255

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (12): 13-18.doi: 10.6040/j.issn.1671-9352.0.2020.255

• • 上一篇

对角系的平坦性

乔虎生,乔兴斌^*

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2020-12-01
作者简介:乔虎生(1974— ),男,博士,教授,博士生导师,研究方向为半群代数理论. E-mail:gsqiaohsh@163.com*通信作者简介:乔兴斌(1995— ),男,硕士研究生,研究方向为半群代数理论. E-mail:17393151527@163.com
基金资助:
国家自然科学基金资助项目(11961058)

Flatness properties of diagonal acts

QIAO Hu-sheng, QIAO Xing-bin^*

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

Published:2020-12-01

摘要/Abstract

摘要： 设S是幺半群,给出了对角系D(S)满足条件(PWP)、条件(P')、条件(P_E)以及条件(GP)的一些等价描述。利用GP-平坦的对角系,刻画了幺半群的结构特征,推广了已有的结果。

关键词: 对角系, 平坦性, 左PSF幺半群

Abstract: Let S be a monoid. Some equivalent descriptions of diagonal acts D(S) satisfying Conditions(PWP),(P'),(P_E)and(GP)are given. Using GP-flat diagonal acts, some structural characterizations of monoids are characterized. Further, some known results are generalized.

Key words: diagonal acts, flatness properties, left PSF monoids

中图分类号:

O152.7

乔虎生,乔兴斌. 对角系的平坦性[J]. 《山东大学学报(理学版)》, 2020, 55(12): 13-18.

QIAO Hu-sheng, QIAO Xing-bin. Flatness properties of diagonal acts[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(12): 13-18.

参考文献

[1] 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. The S-act theory of semigroups[M]. Beijing: Science Press, 2008.
[2] BLUMAN-FLEMING S, GILMOUR A. Flatness properties of diagonal acts over monoids[J]. Semigroup Forum, 2009, 79:298-314.
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[7] QIAO Husheng, WEI Chongqing. On a generalization of principal weak flatness property[J]. Semigroup Forum, 2012, 85:147-159.

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对角系的平坦性

Flatness properties of diagonal acts

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