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: | 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: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2011.05.002 |
Similar Items
-
The homomorphisms between full transformation semigroup Tn and symmetric inverse semigroup ISn(全变换半群Tn与对称逆半群ISn之间的同态)
by: LINShuang(林双), et al.
Published: (2013-03-01) -
Some new solutions of the congruence 2n-2 ≡1 (mod n)(同余式2n-2≡1(mod n)的一些新解)
by: YANGShi-chun(杨仕椿)
Published: (2010-05-01) -
Some congruences concerning Euler numbers(关于Euler数的一些同余式)
by: ZENGPing-an(曾平安)
Published: (2008-07-01) -
Morita-Takeuchi context over weak Hopf algebras(弱Hopf代数上的Morita-Takeuchi关系)
by: ZHENGNaifeng(郑乃峰)
Published: (2014-09-01) -
Weak Hopf algebras's twisted Smash product and Smash coproduct(弱Hopf代数的扭曲的Smash积及Smash余积)
by: NIShen-bing(倪沈冰)
Published: (2002-05-01)