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
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. ()