摘要
在本文中，我们刻画弱Ｐ－正则半群上的最大幂等分离同余，并且证明了具有超Ｃ－集的弱Ｐ－正则半群Ｓ［Ｐ］是拟Ρ－正则当且仅当它同构于ＷＢ（Ｐ）［Ｐ＊］和某个弱正则－半群Ｔ的织积，其中Ｂ是Ｓ［Ｐ］的半带．最后，我们获得，在一般情况下，ＷＢ（Ｐ）［Ｐ］是弱Ρ－正则半群但不是Ρ－正则半群的条件．
In this paper, we characterize the maximum idempotent-separating congruences on weakly P-regular semigroups and prove that a weakly P-regular semigroup S[P] with a over-C-set P is quasi-P-regular if and only if it is just isomorphic to the spined product of WB(P)[P*] and a weakly regular *-semigroup T, where B is the semiband of S[P]. Finally, we obtain that, in general, the condition that WB(P)[P*] is a weakly P-regular semigroup but not a P-regular semigroup.
出处
《数学进展》
CSCD
北大核心
2001年第3期203-217,共15页
Advances in Mathematics（China）
基金
the NSFC (No. 19761004), and the Foundation of STC of Yunnan Province.
