超富足半群上(*)-好同余研究

doi:10.6040/j.issn.1671-9352.0.2019.508

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (8): 98-101.doi: 10.6040/j.issn.1671-9352.0.2019.508

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超富足半群上(*)-好同余研究

宫春梅,王惠,吴丹丹

西安建筑科技大学理学院, 陕西西安 710055

发布日期:2020-07-14
作者简介:宫春梅(1981— ),女,博士,副教授,研究方向为半群代数理论. E-mail:meigongchu@163.com
基金资助:
西安建筑科技大学科技基金资助项目(ZR18033;ZR18035)

(*)-Good congruences on superabundant semigroups

GONG Chun-mei, WANG Hui, WU Dan-dan

School of Science, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China

Published:2020-07-14

摘要/Abstract

摘要： 利用(*)-格林关系与超富足半群的性质研究了超富足半群上的(*)-好同余的刻画。给出了超富足半群S上任意2个元素具有(*)-好同余的充要条件,以及S上包含在D ^*中的任一同余的刻画。

关键词: (*)-格林关系, 超富足半群, (*)-好同余

Abstract: The characterizations of(*)-good congruence on superabundant semigroups are studied by means of(*)-Greens relation and the properties of superabundant semigroups. The sufficient and necessary condition that any two elements on a superabundant semigroup S are in the same(*)-good congruence class is given and the description of any congruence contained in D ^* on S is obtained.

Key words: (*)-Greens relation, superabundant semigroup, (*)-good congruence

中图分类号:

O152.7

宫春梅,王惠,吴丹丹. 超富足半群上(*)-好同余研究[J]. 《山东大学学报(理学版)》, 2020, 55(8): 98-101.

GONG Chun-mei, WANG Hui, WU Dan-dan. (*)-Good congruences on superabundant semigroups[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(8): 98-101.

参考文献

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超富足半群上(*)-好同余研究

(*)-Good congruences on superabundant semigroups

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