Semitransitive subsemigroups of the symmetric inverse semigroups

被引：5

作者：

Cvetko-Vah, Karin ^{[1
]}

Bukovsek, Damjana Kokol ^{[1
]}

Kosir, Tomaz ^{[1
]}

Kudryavtseva, Ganna ^{[2
]}

Lavrenyuk, Yaroslav ^{[2
]}

Oliynyk, Andriy ^{[2
]}

机构：

[1] Univ Ljubljana, Dept Math, Ljubljana 1000, Slovenia

[2] Kyiv Taras Shevchenko Univ, Dept Mech & Math, UA-01033 Kiev, Ukraine

来源：

SEMIGROUP FORUM | 2009年 / 78卷 / 01期

关键词：

Semitransitive semigroup; Transitive semigroup; Symmetric inverse semigroup; TRANSITIVE PERMUTATION-GROUPS; OPERATORS;

D O I：

10.1007/s00233-008-9123-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We initiate the study of semitransitive transformation semigroups. In the paper we describe the structure of semitransitive subsemigroups of the finite symmetric inverse semigroup of the minimal cardinality modulo the classification of transitive subgroups of the minimal cardinality of finite symmetric groups, and state the results on minimal transitive subsemigroups.

引用

页码：138 / 147

页数：10

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