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.
Main Authors: | , |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2011-09-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2011.05.002 |