PROFINITE IDENTITIES FOR FINITE SEMIGROUPS WHOSE SUBGROUPS BELONG TO A GIVEN PSEUDOVARIETY-Reference-Cited by-同舟云学术

PROFINITE IDENTITIES FOR FINITE SEMIGROUPS WHOSE SUBGROUPS BELONG TO A GIVEN PSEUDOVARIETY

Published:2003-06 Issue:02 Volume:02 Page:137-163
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ALMEIDA J.¹,VOLKOV M. V.²

Affiliation:

1. Departamento de Matemática Pura, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal

2. Department of Mathematics and Mechanics, Ural State University, 620083 Ekaterinburg, Russia

Abstract

We introduce a series of new polynomially computable implicit operations on the class of all finite semigroups. These new operations enable us to construct a finite pro-identity basis for the pseudovariety [Formula: see text] of all finite semigroups whose subgroups belong to a given finitely based pseudovariety H of finite groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498803000519

Reference32 articles.

1. The Burnside Problem and Identities in Groups

2. Dynamics of implicit operations and tameness of pseudovarieties of groups

3. Implicit Operations on Certain Classes of Semigroups

4. GLOBALS OF PSEUDOVARIETIES OF COMMUTATIVE SEMIGROUPS: THE FINITE BASIS PROBLEM, DECIDABILITY AND GAPS

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