正则半群的逆断面存在条件
On existence conditions of inverse transversals for regular semigroups
摘要
引入正则半群S的δ-断面T的概念,δ是S到T的一个满射.讨论正则半群S的多类δ-断面的性质和正则半群的逆δ-断面存在条件,并给出有逆δ-断面的拟纯正半群的一个等价条件.
The ^δ-transversals of a semigroup were defined in this note as a generalization of the concept of transversals of semigroups. The existence conditions of （inverse） ^δ-transversals for regular semigroups were discussed.
出处
《上海理工大学学报》
CAS
北大核心
2009年第1期18-22,共5页
Journal of University of Shanghai For Science and Technology
基金
上海市教委科研创新资助项目(08YZ94)
关键词
δ-断面
同余
正则(序)半群
(拟)纯正半群
^δ-transversal
congruence
regular（ ordered ） semigmup
（quasi） orthodox semigroup
参考文献11
-
1BLYTH T S, McFadden R. Regular semigroups with a multiplicative inverse trransversal[J]. Broc Rog Soc Edinburgh, 1981,92A.. 253 - 270.
-
2SAITON T. Construction of a class of regular semigroups withh Inverse transversal[C]//Math Ges D D R Conference on Theory and Application of Semigroups, Creifwald (GDR), 1984, 108 - 113.
-
3CHEN J F. Orthdox transversals of regular semigroups[J]. International Journal of Algebra and Computation, 2001,2: 269 - 279.
-
4LI Y. A class of regular semigroups with regular - tmnsversals[J]. Semigroup Forum, 2002,65.. 43 - 57.
-
5NORDAHL T E,SCHEIBLICH H E. Regular -semigroups[J]. Semigroup Forum, 1978,16: 369 - 377.
-
6HOWLEJ M.An introduction to semigroups theory [M]. Academic Press, London, 1976.
-
7BLYTH T S, PINTO G A. On ordered regular semigroups with biggest inverses [J]. Semigroup Forum, 1997,54:154 - 165.
-
8SAITON T. Quasi-orthodox semigroups with inverse transversals[J]. Semigroup Forum, 1987,36: 45 - 53.
-
9高振林,邓琨.半素路代数的有向图特征及其应用[J].上海理工大学学报,2008,30(1):87-90. 被引量：1
-
10俞淑萍,高振林.富足p序半群与右弱完全右p序半群的结构[J].上海理工大学学报,2008,30(1):91-94. 被引量：1
二级参考文献19
-
1任美玉,高振林.关于序^＊-半格同余的最小元问题[J].西南师范大学学报（自然科学版）,2004,29(5):795-797. 被引量：3
-
2GAO Z L.On the least property of the semilattice congruences on po-semigroups[J].Semigroup Forum,1998,56(3):323-333.
-
3KEHAYOPULU N.Note on green's relations in po-semigroups[J].Math Japonica,1991,36(2):211-214.
-
4KEHAYOPULU N.On weakly commutative po-semigroups[ J ].Math Japonica,1991,36 (3):427-432.
-
5GAO Z L,SHUM K P.On cyclic commutative po-cemigroups[J].PUMA,1997,8(2-4):261-273.
-
6GAO Z L,SHUM K P.Some subclasses of weakly commutative po-semigroups[ J ].PUMA,1998,9 (3-4):319-332.
-
7邦迪 默蒂著 吴望名译.图论及其应用[M].北京:科学出版社,1984..
-
8刘绍学.有向图的几何性质和其路代数的代数性质.数学学报,1988,31(4):483-487.
-
9ZHANG Jule.A note on von Neumann regular rings[J]. Southeast Asian Bulletin of Mathematics, 1998,22 (2) : 231 - 235.
-
10FANG Jie. Congruence lattices on ockham algebras[J]. Southeast Asian Bulletin of Mathematics, 1997, 21 (4) : 385 - 393.
