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双半环簇的拟强半格
引用本文:王颂生,张伟,屈聪.双半环簇的拟强半格[J].江西师范大学学报(自然科学版),2007,31(4):424-427.
作者姓名:王颂生  张伟  屈聪
作者单位:江西师范大学,数学与信息科学学院,江西,南昌,330022
摘    要:研究了乘法左正规双半环的结构,且证明了这种双半环是乘法左零双半环的拟强半格,并得出这种双半环和含幺双半环的直积是Lz-双半环的拟强半格.

关 键 词:双半环  拟强半格  左正规双半环  左零双半环  直积
文章编号:1000-5862(2007)04-0424-04
修稿时间:2006-12-11

The Pseudo-Strong Semilattice of Bi-Semiring Varieties
WANG Song-sheng,ZHANG Wei,QU Cong.The Pseudo-Strong Semilattice of Bi-Semiring Varieties[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2007,31(4):424-427.
Authors:WANG Song-sheng  ZHANG Wei  QU Cong
Institution:Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China
Abstract:In this paper,the structure of multiplicative left normal bi-semiring has been studied.We prove that this kind of bi-semiring is a pseudo-strong semilattice of multiplicative left zero bi-semiring,and characterize the direct product of this kind of bi-semiring and bi-semiring with a unit element as a pseudo-strong semilattice of bi-semiring.
Keywords:bi-semiring  pseudo-strong semilattice  left normal bi-semiring  left zero bi-semiring  direct product
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