纯整环并半环的半群结构

数学物理学报

纯整环并半环的半群结构

周媛兰¹；郭聿琦²；王正攀²

(1.江西师范大学数信学院南昌 330000; 2.西南大学数学系重庆 400715)

收稿日期:2006-11-22 修回日期:2007-12-08 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 周媛兰
基金资助:
国家自然科学基金(10471112)、江西师范大学博士启动基金(1905)、江西省自然科学基金(0611051) 资助

The Semigroup Structure of Orthorings

Zhou Yuanlan¹; Guo Yuqi²; Wang zhengpan²

(1.Department of Mathematics, Jiangxi Normal University, Nanchang 330000;
2.Department of Mathematics, South-west China University, Chongqing 400715)

Received:2006-11-22 Revised:2007-12-08 Online:2008-12-25 Published:2008-12-25
Contact: Zhou Yuanlan

摘要/Abstract

摘要： 环并半环称为纯整环并半环, 若其加法幂等元集是一个带半环. 若纯整环并半环的加法幂等元集是一个T带半环, 称为$T$纯整环并半环. 研究了纯整环并半环以及一些$T$纯整环并半环的半群结构.

关键词: 矩形环, 带半环, 纯整环并半环, T 纯整环并半环

Abstract: A semiring is an orthoring, if it is the disjoint union of subrings and the set of its additive idempotents is a band semiring. An orthoring is called a T rthoring, if the set of its additive idempotents is a T band semiring. The semigroup structures of orthorings and some T orthorings are studied.

Key words: Rectangular ring, Band semiring, Orthoring, T orthoring

中图分类号:

20M10

周媛兰;郭聿琦;王正攀. 纯整环并半环的半群结构[J]. 数学物理学报, 2008, 28(6): 1097-1102.

Zhou Yuanlan; Guo Yuqi; Wang zhengpan. The Semigroup Structure of Orthorings[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1097-1102.