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正则带的拟强半格分解

孔祥智 刘开振

数学杂志2011,Vol.31Issue(6):1087-1090,4.
数学杂志2011,Vol.31Issue(6):1087-1090,4.

正则带的拟强半格分解

QUASI-STRONG SEMILATTICE DECOMPOSITION OF REGULAR BANDS

孔祥智 1刘开振1

作者信息

  • 1. 江南大学理学院,江苏无锡214122
  • 折叠

摘要

Abstract

The problem of structure of regular bands is studied in this article. By the way of quasi-strong semilattice of semigroups, we prove that a band is a regular band if and only if it is a quasi-strong semilattice of rectangular bands, which generalizes the result of Yamada and Kimura on normal bands, that is, a band is a normal band if and only if it is a strong semilattice of rectangular bands.

关键词

拟强半格分解/正则带/同余/同态

Key words

quasi-strong semilattice decomposition/ regular band/ congruence/ homomor-phism

分类

数理科学

引用本文复制引用

孔祥智,刘开振..正则带的拟强半格分解[J].数学杂志,2011,31(6):1087-1090,4.

基金项目

国家自然科学基金资助(10871161) (10871161)

江南大学PIRTJiangnan创新团队基金资助. ()

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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