Semigroup presentations for test local groups

被引：1

作者：

Costa, J. C. ^{[1
]}

Nogueira, C. ^{[2
]}

Teixeira, M. L. ^{[1
]}

机构：

[1] Univ Minho, Dept Matemat & Aplicacoes, CMAT, P-4700320 Braga, Portugal

[2] Inst Politecn Leiria, Escola Super Tecnol & Gestao, CMAT, P-2411901 Alto Vieiro, Leiria, Portugal

来源：

SEMIGROUP FORUM | 2015年 / 90卷 / 03期

关键词：

Local group; Semigroup presentation; Rees matrix semigroup; Pseudovariety; kappa-term; Canonical form; PSEUDOVARIETY LS1; FORMS;

D O I：

10.1007/s00233-014-9656-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we exhibit a type of semigroup presentation which determines a class of local groups. We show that the finite elements of this class generate the pseudovariety of all finite local groups and use them as test-semigroups to prove that and , the pseudovariety of all finite semigroups, verify the same -identities involving -terms of rank at most 1, where denotes the implicit signature consisting of the multiplication and the -power.

引用

页码：731 / 752

页数：22

共 37 条

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