Some reducibility properties for pseudovarieties of the form DRH

被引：0

作者：

Borlido, Celia ^{[1
,2
]}

机构：

[1] Univ Porto, Ctr Matemat, Porto, Portugal

[2] Univ Porto, Dept Matemat, Fac Ciencias, Porto, Portugal

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 04期

基金：

欧洲研究理事会;

关键词：

Graph equation; idempotent pointlike equation; pointlike equation; pseudovariety; R-class; reducibility; FINITE-SEMIGROUPS; PROFINITE SEMIGROUPS; SEMIDIRECT PRODUCTS; COMPLEXITY; AUTOMATA; TAMENESS; UNDECIDABILITY; DECIDABILITY; IDENTITIES;

D O I：

10.1080/00927872.2017.1360328

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a pseudovariety of groups and DRH be the pseudovariety containing all finite semigroups whose regular R-classes belong to H. We study the relationship between reducibility of H and of DRH with respect to several particular classes of systems of equations. The classes of systems considered (of pointlike, idempotent pointlike and graph equations) are known to play a role in decidability questions concerning pseudovarieties of the forms V * W, V boolean OR W, and V (m) W.

引用

页码：1813 / 1830

页数：18

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