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单调保k变换半群ORn(K)的Green关系
Green’s Relations of Semigroup Monotone and k-Preserving Transformations

DOI: 10.12677/PM.2019.92030, PP. 237-242

Keywords: 保序,变换半群,Green关系
Order Preserving
, Transformation Semigroups, Green’s Relations

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Abstract:

设Xn=﹛1,2,...n﹜是有限集, Singn是Xn上的奇异变换半群,On和Rn是Singn上的保序变换之集和反保序变换之集,令ORn(K) =﹛α∈On:Kα=K﹜∪﹛α∈Rn:Kα=K﹜,刻画了半群ORn(K)的Green关系。
Let Xn=﹛1,2,...n﹜ denote a finite set,?Singn is Singular transformation semigroups on it.?On and?Rn is Order-preserving and anti-order-preserving transformation semigroups of?Singn . Let ORn(K) =﹛α∈On:Kα=K﹜∪﹛α∈Rn:Kα=K﹜, this paper describes Green’s relations of?ORn(K) .

References

[1]  陈先军. 保整除变换半群的Green关系及一些组合结果[J]. 贵州师范大学学报(自然科学版), 2010, 28(2): 93-114.
[2]  Deng, L.Z., Zeng, J.W. and Xu, B. (2010) Green’s Relations and Regularity for Semigroups of Transformations That Preserve Double Di-rection Equivalence. Semigroup Forum, 80, 416-425.
[3]  龙伟锋, 龙伟芳, 高荣海. TE(X)中局部方向保序变换半群的Green 关系和正则性[J]. 贵州师范大学学报(自然科学版), 2009, 27(2): 79-82.
[4]  Howie, J.M. (1995) Fundamentals of Semigroup The-ory. Oxford University Press, Oxford.

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