Structure of E*-Unitary Categorical Inverse Semigroups
被引量:1
E~*-酉范畴逆半群的结构(英文)
摘要
By introducing the partial actions of primitive inverse semigroups on a set and their globalizations, a structure theorem for E^*-unitary categorical inverse semigroups is obtained.
本文通过定义本原逆半群在集合上的部分作用及其整体化,给出了E*-酉范畴逆半群的结构.
参考文献7
-
1BULMAN-FLEMING S, FOUNTAIN J, GOULD V. Inverse semigroups with zero: covers and their structure[J]. J. Austral. Math. Soc. Ser. A, 1999, 67: 15-30.
-
2GOMES G M S, HOWIE J M. A P-theorem for inverse semigroups with zero [J]. Portugal. Math., 1996, 53:257-278.
-
3HOWIE J M. An Introduction to Semigroup Theory [M]. Academic Press, 1976.
-
4LAWSON M V. The structure of O-E-unitary inverse semigroups. Ⅰ. The monoid case [J]. Proc. Edinburgh Math. Soc., 1999, 42: 497-520.
-
5LAWSON M V. Inverse Semigroups: the Theory of Partial Symmetries [M]. World Scientific, Singapore, 1998.
-
6PETRICH M.Inverse Semigroups[M]. John Wiley & Sons, Inc., New York, 1984.
-
7KELLENDONK J, LAWSON M V. Partial actions of groups [J]. Internat. J. Algebra. Comput., 2004, 14:87-114.
同被引文献10
-
1张润石,李艳,喻秉钧.完全0-单半群的同态像和某些同余[J].四川师范大学学报(自然科学版),2007,30(2):146-150. 被引量:5
-
2Howie J M. An Introduction to Semigroup Theory[ M]. London:Academic Press, 1976.
-
3Polikov O, Schein B M. A new construction for free inverse semigroup [ J ]. J Algebra,2005,288 (1) :20-58.
-
4Petrich M. Inverse Semigroups [ M ]. New York:John Wiley & Sons,Inc, 1984.
-
5Lwson M V. Inverse Semigroup, the Theory of Partial Symmetries [ M ]. Singapore : World Scientific, 1998.
-
6高增辉,喻秉钧.P-反演半群的P-同态及强P-半格[J].四川师范大学学报(自然科学版),2007,30(6):704-707. 被引量:4
-
7蒋启芬,喻秉钧.一类广义双循环半群[J].四川师范大学学报(自然科学版),1999,22(1):17-23. 被引量:6
-
8朱雯.关于G逆半群的构造[J].数学杂志,1999,19(3):282-286. 被引量:2
-
9朱雯,何明星.关于G逆半群的同余格[J].数学杂志,1999,19(4):411-415. 被引量:2
-
10喻秉钧,蒋启芬.广义双循环半群和Jones半群[J].数学进展,2000,29(3):235-244. 被引量:6
-
1陈历敏.0-对偶预同态的一个充要条件(英文)[J].纯粹数学与应用数学,2005,21(4):317-318.
-
2陈历敏.半格与本原逆半群的λ-半直积的E^*-酉性[J].湛江师范学院学报,2003,24(6):9-10.
-
3曹玉廷.论双原子模型在分析材料结构与性能中的部分作用[J].浙江水产学院学报,1991,10(2):117-122.
-
4陈历敏.0-范畴E-酉逆半群的结构[J].数学理论与应用,2004,24(1):77-79.
-
5陈历敏.一类逆半群的嵌入定理[J].数学的实践与认识,2006,36(3):257-260.
-
6冯红宁,高首山.Ⅳ-Ⅵ族稀磁半导体的磁化理论[J].辽宁科技大学学报,2011,34(1):1-3.
-
7江中豪.0-范畴,强〈E〉~*-稠密半群(英文)[J].数学进展,2003,32(5):597-605.
-
8曲志明,周心权,巩伟平,郭胜茂,姜玮蔚.大爆破爆炸冲击波在破碎岩体间传播的数值模拟研究[J].振动与冲击,2007,26(12):60-62. 被引量:6
-
9王德海,杨晋涛.高分子物理课程知识体系的构建革新[J].高分子通报,2012(11):101-103. 被引量:4
-
10马艳平,包鹏,虞忠衡.DFT能量分解和氮苄叉基苯胺分子π电子离域能的研究[J].高等学校化学学报,2006,27(8):1526-1529. 被引量:3