A Construction of Orthogroups with Inverse Transversals
A Construction of Orthogroups with Inverse Transversals
摘要
In this paper,we construct orthogroups with inverse transversals by means of bands with semilattice transversals and Clifford semigroups.
In this paper, we construct orthogroups with inverse transversals by means of bands with semilattice transversals and Clifford semigroups.
参考文献7
-
1BLYTH T S, MCFADDEN R. Regular semigroups with a multiplicative inverse transversal [J]. Proc. Roy. Soc. Edinburgh Sect. A, 1982, 92(3-4): 253-270.
-
2CLIFFORD A H. Semigroups admitting relative inverses [J]. Ann. of Math. (2), 1941, 42: 1037-1049.
-
3CLIFFORD A H. The structure of orthodox unions of groups[J]. Semigroup Forum, 1972, 3(4): 283-337.
-
4SONG Guang-tian, ZHANG Jian-gang, LIU Guo-xin. A construction of o-rthogroups [J]. Northeast. Math. J., 2006, 22(1): 81-88.
-
5PETRICH M REILLY N. Completely Regular Semigroups [M]. John Wiley & Sons, Inc., New York, 1999.
-
6HE Yong, GUO Yu-qi, SHUM K P. Standard representations of orthodox semigroups [J]. Comm. Algebra, 2005, 33(3): 745-761.
-
7ZHU Feng-lin. Some Studies on Regular Semigroups with Inverse Transversals [D]. Ph.D. Dissertation, Dept. of Math., University of Science and Technology of China, 2003.
-
1魏仕民,王爱平,邵金声.拟Clifford半群[J].淮北煤师院学报（自然科学版）,1994,15(1):1-5.
-
2孟祥芹,宋光天.纯正群并的结构[J].数学进展,2012,41(1):7-15.
-
3杨琳,邵勇.乘法半群为左正规纯正群的半环[J].纯粹数学与应用数学,2010,26(1):146-150.
-
4宋光天,张建刚,刘国新.A Construction of Orthogroups[J].Northeastern Mathematical Journal,2006,22(1):81-88. 被引量：2
-
5任学明,郭聿琦,岑嘉评.Clifford拟正则半群[J].数学年刊（A辑）,1994,1(3):319-325. 被引量：9
-
6张建刚,申冉.On Endomorphisms of Normal Orthogroups[J].Journal of Donghua University(English Edition),2008,25(5):590-593. 被引量：1
-
7汪立民.On E-solid Regular Semigroups With Inverse Transversals[J].数学进展,2000,29(4):378-380. 被引量：1
-
8邵勇,赵宪钟.Locally Inverse Semigroups with Inverse Transversals[J].Journal of Mathematical Research and Exposition,2009,29(4):599-606.
-
9Rong Hua ZHANG,Shou Feng WANG.On Generalized Inverse Transversals[J].Acta Mathematica Sinica,English Series,2008,24(7):1193-1204.
-
10宁群,张建刚,刘国新.两类完全正则半群的同态和同余[J].数学杂志,2007,27(5):557-562. 被引量：1
