Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余)

Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余)

设T(X)为有限集X上的全变换半群，Y为X的任意非空子集，引入有限弱Y-稳定变换半群W(Y) = {α∈T(X): Yα⊆Y}，证明了当W(Y)满足1< |Y| < |X|时，W(Y)有且仅有2个极小同余.另外，当|Y| =|X|（即Y=X或1= |Y|<|X|时，W(Y)只有唯一的极小同余.

Bibliographic Details
Main Authors: FENGZheng-hao(冯正浩), YANGXiu-liang(杨秀良)
Format: Article
Language:zho
Published: Zhejiang University Press 2011-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
弱y-稳定
极小同余
rees同余
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2011.05.002
Description
Summary:设T(X)为有限集X上的全变换半群，Y为X的任意非空子集，引入有限弱Y-稳定变换半群W(Y) = {α∈T(X): Yα⊆Y}，证明了当W(Y)满足1< |Y| < |X|时，W(Y)有且仅有2个极小同余.另外，当|Y| =|X|（即Y=X或1= |Y|<|X|时，W(Y)只有唯一的极小同余.
ISSN:1008-9497

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