ON GENERALIZED ORTHODOX TRANSVERSALS

被引：9

作者：

Kong, Xiang Jun ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 04期

基金：

中国博士后科学基金;

关键词：

Orthodox transversal; Partial band; Perfect generalized orthodox transversal; Regular semigroup; 20M10; REGULAR-SEMIGROUPS; INVERSE TRANSVERSALS; CONSTRUCTION;

D O I：

10.1080/00927872.2012.730592

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalized orthodox transversals are introduced in this article, and some characterizations associated with them are obtained. The related results of Chen on quasi-ideal orthodox transversals obtained in 1999 and Zhang and Wang on generalized inverse transversals obtained in 2008 are generalized and amplified. A structure theorem of a regular semigroup with a perfect generalized orthodox transversal is also established.

引用

页码：1431 / 1447

页数：17

共 9 条

[1] ON AMENABLE ORDERS AND INVERSE TRANSVERSALS [J].

Blyth, T. S. ;

Santos, M. H. Almeida .

COMMUNICATIONS IN ALGEBRA, 2011, 39 (06) :2189-2209

[2] 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

[3]

Chen JF, 1999, COMMUN ALGEBRA, V27, P4275

[4] Orthodox transversals of regular semigroups [J].

Chen, JF ;

Cuo, YQ .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2001, 11 (02) :269-279

[5] Regular semigroups with quasi-ideal orthodox transversals [J].

Kong, Xiangjun .

SEMIGROUP FORUM, 2007, 74 (02) :247-258

[6]

[孔祥军 KONG XiangJun], 2011, [中国科学. 数学, Scientia Sinica Mathematica], V41, P745

[7] A NEW CONSTRUCTION FOR REGULAR SEMIGROUPS WITH QUASI-IDEAL ORTHODOX TRANSVERSALS [J].

Kong, Xiangjun ;

Zhao, Xianzhong .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 86 (02) :177-187

[8] On generalized inverse transversals [J].

Rong Hua Zhang ;

Shou Feng Wang .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (07) :1193-1204

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

SAITO, T .

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

← 1 →