| 一类部分变换半群的Green关系 |
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| 引用本文： | 龙伟芳,龙伟锋,高荣海. 一类部分变换半群的Green关系[J]. 贵州师范大学学报(自然科学版), 2009, 27(1) |
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| 作者姓名： | 龙伟芳 龙伟锋 高荣海 |
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| 作者单位： | 贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001 |
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| 摘 要： | X为任意集且|X|≥5,E是X上的双等价关系,即E=(A×A)∪(B×B)∪Δ(X)其中A,B是X的真子集且|A|>1,|B|>1,Δ(X)={(x,x):x∈X}.PX表示集合X上的部分变换半群,令PE(X)={f∈PX:(a,b)∈E且a,b∈domf,(f(a),f(b))∈E},那么PE(X)是PX上的一个子半群.刻划了PE(X)的G reen关系.
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| 关 键 词： | 部分变换半群 保等价关系 Green关系 |
On the Green's relations of certain partial transformation semigroups |
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| LONG Wei-fang,LONG Wei-feng,GAO Rong-hai. On the Green's relations of certain partial transformation semigroups[J]. Journal of Guizhou Normal University(Natural Sciences), 2009, 27(1) |
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| Authors: | LONG Wei-fang LONG Wei-feng GAO Rong-hai |
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| Affiliation: | School of Mathematics and Computer Science;Guizhou Normal University;Guiyang;Guizhou 550001;China |
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| Abstract: | Let X denote any set |X|≥5,E is a bi-equivalence on X,namely,E=(A×A)∪(B×B)∪Δ(X),among which A and B are proper subsets of X,with |A|>1,|B|>1,Δ(X)=(x,x):x∈X.PX denots the semigroup of partial transformations on set X,let PE(X)={f∈PX:(a,b)∈E且a,b∈domf,(f(a),f(b))∈E},then PE(X) is a subsemigroup of PX.This paper describes the Green's relations of PE(X). |
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| Keywords: | semigroup of partial transformations preserving equivalence relation Green's relations |
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