S-系的D-多余子系

doi:10.6040/j.issn.1671-9352.0.2022.556

《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (11): 71-75.doi: 10.6040/j.issn.1671-9352.0.2022.556

S-系的D-多余子系

陆瑞霞(),乔虎生*()

西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2022-11-14 出版日期:2023-11-20 发布日期:2023-11-07
通讯作者: 乔虎生 E-mail:3053943787@qq.com;gsqiaohsh@163.com
作者简介:陆瑞霞(1999—), 女, 硕士研究生, 研究方向为半群代数理论. E-mail: 3053943787@qq.com
基金资助:
国家自然科学基金资助项目(11961058)

D-superfluous subacts of S-acts

Ruixia LU(),Husheng QIAO*()

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

Received:2022-11-14 Online:2023-11-20 Published:2023-11-07
Contact: Husheng QIAO E-mail:3053943787@qq.com;gsqiaohsh@163.com

摘要/Abstract

摘要：

设S是幺半群, A为S-系，基于S-系的多余子系的概念, 研究D-多余子系的概念及其基本性质；最后, 结合S-系根的定义, 定义并研究了S-系的D-根的若干性质。

关键词: 子系, 多余子系, D-多余子系, D-根

Abstract:

Let S be a monoid, A be an S-act. Based on the concept of superfluous subacts of S-acts, the concept of D-superfluous subacts and its basic properties are studied. Finally, some properties of D-radicals of S-acts are defined and studied.

Key words: subact, superfluous subact, D-superfluous subact, D-radical

中图分类号:

O152.7

陆瑞霞,乔虎生. S-系的D-多余子系[J]. 《山东大学学报(理学版)》, 2023, 58(11): 71-75.

Ruixia LU,Husheng QIAO. D-superfluous subacts of S-acts[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(11): 71-75.

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S-系的D-多余子系

D-superfluous subacts of S-acts

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