On generalized inverse transversals

被引：3

作者：

Rong Hua Zhang ^{[1
]}

Shou Feng Wang ^{[2
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 07期

关键词：

generalized inverse transversal; inverse transversal; regular semigroup;

D O I：

10.1007/s10114-007-6550-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a regular semigroup, S-o an inverse subsemigroup of S. S-o is called a generalized inverse transversal of S, if V (x) boolean AND S-o not equal phi. In this paper, some properties of this kind of semigroups are discussed. In particular, a construction theorem is obtained which contains some recent results in the literature as its special cases.

引用

页码：1193 / 1204

页数：12

共 11 条

[1] REGULAR-SEMIGROUPS WITH A MULTIPLICATIVE INVERSE TRANSVERSAL [J].

BLYTH, TS ;

MCFADDEN, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1982, 92 :253-270

[2]

Chen JF, 1999, COMMUN ALGEBRA, V27, P4275

[3] Abundant semigroups with a multiplicative adequate transversal [J].

Guo, XJ .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (02) :229-244

[4]

Howie J., 1976, An introduction to semigroup theory

[5] A class of regular semigroups with regular - Transversals [J].

Li, YH .

SEMIGROUP FORUM, 2002, 65 (01) :43-57

[6] REGULAR-SEMIGROUPS WITH INVERSE TRANSVERSALS [J].

MCALISTER, DB ;

MCFADDEN, RB .

QUARTERLY JOURNAL OF MATHEMATICS, 1983, 34 (136) :459-474

[7]

Petrich M., 1999, CAN MATH SOC SER MON

[8] CONSTRUCTION OF REGULAR-SEMIGROUPS WITH INVERSE TRANSVERSALS [J].

SAITO, T .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1989, 32 :41-51

[9] Regular semigroups with inverse transversals [J].

Tang, XL .

SEMIGROUP FORUM, 1997, 55 (01) :24-32

[10]

WANG SF, 2005, J YUNNAN NATL U NATU, V14, P151

← 1 2 →