A classification of inverse transversals

被引：17

作者：

Blyth, TS ^{[1
]}

Santos, MHA

机构：

[1] Univ St Andrews, Inst Math, St Andrews KY16 9AJ, Fife, Scotland

[2] Univ Nova Lisboa, FCT, Dept Matemat, P-1200 Lisbon, Portugal

来源：

COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 02期

关键词：

regular semigroup; inverse transversal;

D O I：

10.1081/AGB-100001527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.

引用

页码：611 / 624

页数：14

共 14 条

[1]

Blyth T. S., 1993, P EDINBURGH MATH SOC, V37, P91

[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] ON NATURALLY ORDERED REGULAR-SEMIGROUPS WITH BIGGEST IDEMPOTENTS [J].

BLYTH, TS ;

SANTOS, MHA .

COMMUNICATIONS IN ALGEBRA, 1993, 21 (05) :1761-1771

[4] A simplistic approach to inverse transversals [J].

Blyth, TS ;

Santos, MHA .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1996, 39 :57-69

[5]

BLYTH TS, 1995, COLLECT MATH, V46, P35

[6]

Howie J. M., 1995, FUNDAMENTALS SEMIGRO

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

MCALISTER, DB ;

MCFADDEN, RB .

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

[8] MAXIMUM IDEMPOTENTS IN NATURALLY ORDERED REGULAR-SEMIGROUPS [J].

MCALISTER, DB ;

MCFADDEN, R .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1983, 26 (JUN) :213-220

[9] SEMIGROUPS WITH INVERSE TRANSVERSALS AS MATRIX SEMIGROUPS [J].

MCALISTER, DB ;

MCFADDEN, RB .

QUARTERLY JOURNAL OF MATHEMATICS, 1984, 35 (140) :455-474

[10]

SAITO, 1987, SEMIGROUP FORUM, V36, P47

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