超Rpp半群的核心
Cores of Super Rpp Semigroups
DOI: 10.12677/PM.2016.63026, PDF, HTML, XML,  被引量 下载: 2,006  浏览: 7,118  国家自然科学基金支持
作者: 叶火平, 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: 超Rpp半群完全J(1)-单半群Super Rpp Semigroup Completely J(1)-Simple Semigroup
摘要: 本文定义了中心(扩交换)超rpp半群,这些半群是完全正则半群子类在超rpp半群中的推广。文中给出了中心(扩交换)超rpp半群的若干特征。
Abstract: In this note, central (overabelian) super rpp semigroup is defined. These semigroups are genera-lization of the related classes of completely regular semigroups in the range of super rpp semi- groups. Some characterizations of such semigroups are obtained.
文章引用:叶火平, 郭俊颖, 郭小江. 超Rpp半群的核心[J]. 理论数学, 2016, 6(3): 172-176. http://dx.doi.org/10.12677/PM.2016.63026

参考文献

[1] Fountain, J.B. (1982) Abundant Semigroups. Proceedings of London Mathematical Society, 44, 103-129.
[2] Guo, X.J., Guo, Y.Q. and Shum, K.P. (2010) Super Rpp Semigroups. Indian Journal of Pure and Applied Mathematics, 41, 505-533.
http://dx.doi.org/10.1007/s13226-010-0030-0
[3] Guo, J.Y., Guo, X.J. and Ding, J.Y. (2015) Com-pletely -Simple Semigroups. Advances in Mathematics (China), 44, 710-718.
[4] Guo, J.Y., Guo, X.J. and Ding, J.Y. (2015) Free Completely -Simple Semigroups. Acta Mathematica Sinica (English Series), 31, 1086-1096.
http://dx.doi.org/10.1007/s10114-015-4117-8
[5] Guo, X.J., Guo, Y.Q. and Shum, K.P. (2008) Rees Matrix Theorem for -Simple Strongly Rpp Semigroups. Asian-European Journal of Mathematics, 1, 215-223.
http://dx.doi.org/10.1142/S1793557108000205
[6] Howie, J.M. (1976) An Introduction to Semigroup Theory. Academic Press, London.
[7] Petrich, M. and Reilly, N.R. (1999) Completely Regular Semigroups. John Wiley & Sons, Inc., New York, Chichester, Weinheim, Brisbane, Singapore, Toronto.