逆半群的一新构造
A New Construction for Inverse Semigroups

作者: 刘姗姗 , 郭俊颖 , 郭小江 :江西师范大学数学与信息科学学院,江西 南昌;

关键词: 基本逆半群Clifford半群逆半群Fundamental Inverse Semigroup Clifford Semigroup Inverse Semigroup

摘要:
本文定义FC-系统的概念。从这一概念出发,利用Munn半群和Clifford半群建立了逆半群的一新结构。

Abstract: Thenotion of FC-system is introduced. In this note, a new construction for inverse semigroups is established in terms of Munn semigroups and Clifford semigroups. 

文章引用: 刘姗姗 , 郭俊颖 , 郭小江 (2015) 逆半群的一新构造。 理论数学, 5, 73-79. doi: 10.12677/PM.2015.52011

参考文献

[1] Guo, X.J., Ren, C.C. and Shum, K.P. (2007) Dual wreath product structure of right C-rpp semigroups. Algebra Collo-quium, 14, 285-294.

[2] Guo, X.J., Zhao, M. and Shum, K.P. (2008) Wreath product structure of left C-rpp semi-groups. Algebra Colloquium, 15, 101-108.

[3] Howie, J.M. (1976) An introduction to semigroup theory. Academic Press, London.

[4] Lawson, M.V. (1998) Inverse semigroups. World Scientific, Singapore, New Jersey, Hong Kong.

[5] Petrich, M. (1984) Inverse semigroups. John Wiley & Sons, Inc., New York.

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