Formations of inverse semigroups

被引：0

作者：

Gracinda M. S. Gomes

Isabel J. Nobre

机构：

[1] Universidade de Lisboa,Faculdade de Ciências, Departamento de Matemática

[2] NOVA School of Science and Technology,undefined

[3] Department of Environmental Sciences and Engineering,undefined

来源：

Semigroup Forum | 2022年 / 105卷

关键词：

Inverse semigroup; Idempotent separating congruence; Variety; Formation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This article explores a generalisation of the theory of formations of groups. Taking formations of groups as the starting point, formations of inverse semigroups are defined, as well as the wider classes of i-formations (i standing for idempotent-separating) and some classes of the kind named f-formations (f standing for fundamental). The relation between the nature of a class of groups and that of certain classes of inverse semigroups with associated groups in the first is discussed. The product of formations is considered, and a product like the Gaschütz’s product known for groups is presented for f-formations.

引用

页码：217 / 243

页数：26

共 16 条

[1]

Ballester-Bolinches A(2014)Formations of finite monoids and formal languages: Eilenberg’s variety theorem revisited Forum Math. 26 1737-1761

[2]

Pin J-É(2020)On formations of monoids J. Pure Appl. Algebra 224 106401-305

[3]

Soler-Escrivà X(1962)Zur Theorie der endlichen auflösbaren Gruppen Math. Z. 80 300-450

[4]

Branco MJJ(2013)Congruences and group congruences on a semigroup Semigroup Forum 86 431-205

[5]

Gomes GMS(2001)Minimal formations of universal algebras Discussiones Math. Gener. Algebra Appl. 21 201-365

[6]

Pin JÉ(1967)Multiplication of classes of algebraic systems Sibirsk. Mat. Zh. 8 346-174

[7]

Soler-Escrivà X(1977)$E$-unitary covers for inverse semigroups Pacific J. Math. 68 161-404

[8]

Gaschütz W(1974)Free inverse semigroups Proc. Lond. Math. Soc. 29 385-112

[9]

Gigoń RS(1990)Presentations of inverse monoids J. Pure Appl. Algebra 63 81-undefined

[10]

Guo W(undefined)undefined undefined undefined undefined-undefined

← 1 2 →