半环的一类子半环的拟正则性

J4 ›› 2009, Vol. 44 ›› Issue (8): 56-57.

半环的一类子半环的拟正则性

乔占科

苏州科技大学数理学院, 江苏苏州 215009

收稿日期:2009-04-10 出版日期:2009-08-16 发布日期:2009-11-08
作者简介:乔占科(1960-),男,副教授,研究方向为半群及矩阵理论.Email：qzhke@163.com
基金资助:
苏州科技大学重点学科基金资助项目

The eventually regularity on a class subsemirings of a semiring

School of Mathematics and Physical, Suzhou University of Science and Technolog y, Suzhou 215009, Jiangsu， China

Received:2009-04-10 Online:2009-08-16 Published:2009-11-08

摘要/Abstract

摘要：

给出了正则半环幂等元同余类正则的条件,证明了完全正则半环,逆半环中幂等元同余类是正则的,同时讨论了拟正则半环中幂等元同余类的拟正则性。

关键词: 同余类; 幂等元;拟正则

Abstract:

We give the regular condition for the congruence class of an idempotent in some semirings, and prove that the congruence class of an idempotent in a completely regular semiring and an inverse semiring is regular. At the same time,we discuss the eventually regularity on the congruence class of an idem potent in an eventually regular semiring.

Key words: congruence class; Idempotent; Eventually regularity

中图分类号:

O153.3

乔占科. 半环的一类子半环的拟正则性[J]. J4, 2009, 44(8): 56-57.

JIAO Tie-Ke. The eventually regularity on a class subsemirings of a semiring[J]. J4, 2009, 44(8): 56-57.

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