计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (3): 28-30.

• 博士论坛 • 上一篇    下一篇

某些半环的结构

张娟娟,邵 勇   

  1. 西北大学 数学系,西安 710127
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-01-21 发布日期:2008-01-21
  • 通讯作者: 张娟娟

Structure of some semirings

ZHANG Juan-juan,SHAO Yong   

  1. Department of Mathematics,Northwest University,Xi’an 710127,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-01-21 Published:2008-01-21
  • Contact: ZHANG Juan-juan

摘要: 介绍了AM)-完全正则半环,并利用(2,2)型代数的坚固构架的概念,给出了AM)-完全正则半环的次直积分解与其加法(乘法)半群的次直积分解之间的密切联系。特别地,推广了以往文献的一些结果。

关键词: 簇, Mal’cev积, 次直积, 坚固构架

Abstract: AM)-completely regular semiring is introduces, and the closed relationship between the subdirect product decomposition of AM)-completely regular semiring and the subdirect product decomposition of its additive (multiplicative) reduct is given by using the concept of sturdy frame of type (2,2) algebras.In particular,some results in references are extended.

Key words: variety, Mal’cev product, subdirect product, sturdy frame