富足半群的拟理想恰当断面

数学季刊 ›› 2010, Vol. 25 ›› Issue (2): 257-266.

富足半群的拟理想恰当断面

Department of Information and Mathematics Sciences, China Jiliang University

收稿日期:2005-10-09 出版日期:2010-06-30 发布日期:2023-06-05
作者简介:LUO Min-xia(1964-), female, native of Yuncheng, Shanxi, a professor of China Jiliang University, Ph.D., engages in semigroup algebra theory.
基金资助:
Supported by National Natural Science Foundation of China(90818020)； Supported by Scientific Research Foundation of China Jiliang University(20060810)；

On Abundant Semigroups with Quasi-ideal Adequate Transversals

Department of Information and Mathematics Sciences, China Jiliang University

Received:2005-10-09 Online:2010-06-30 Published:2023-06-05
About author:LUO Min-xia(1964-), female, native of Yuncheng, Shanxi, a professor of China Jiliang University, Ph.D., engages in semigroup algebra theory.
Supported by:
Supported by National Natural Science Foundation of China(90818020)； Supported by Scientific Research Foundation of China Jiliang University(20060810)；

摘要/Abstract

摘要： In this paper, we discuss some properties about an abundant semigroup with a quasi-ideal adequate transversal. Moreover, we show that the product of two quasi-ideal adequate transversals of an abundant semigroup which satisfies some conditions is a quasiideal adequate transversal.

关键词: abundant semigroup, inverse transversal, quasi-ideal adequate transversal;
adequate semigroup

Abstract: In this paper, we discuss some properties about an abundant semigroup with a quasi-ideal adequate transversal. Moreover, we show that the product of two quasi-ideal adequate transversals of an abundant semigroup which satisfies some conditions is a quasiideal adequate transversal.

Key words: abundant semigroup, inverse transversal, quasi-ideal adequate transversal;
adequate semigroup

中图分类号:

O152.7

罗敏霞 . 富足半群的拟理想恰当断面[J]. 数学季刊, 2010, 25(2): 257-266.

LUO Min-xia. On Abundant Semigroups with Quasi-ideal Adequate Transversals [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 257-266.