ON PSEUDOVARIETIES, VARIETIES OF LANGUAGES, FILTERS OF CONGRUENCES, PSEUDOIDENTITIES AND RELATED TOPICS

• Type: Article in International Scientific Journal
• Date: 1990

Authors

ALMEIDA, J (Author) FCUP

Journal

Title: Algebra Universalis

Vol. 27

Pages: 333-350

ISSN: 0002-5240

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 37 Citations

Scopus - 41 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-S19

DOI: 10.1007/BF01190713

Abstract (EN): In recent years there has been considerable interest in pseudovarieties, mainly in the theory of finite semigroups and monoids. However, several results on pseudovarieties apply to much more general finite algebraic structures. This note provides a systematic approach to various characterizations of pseudovarieties, some old, some new, most of them formulated in terms of isomorphisms with the lattice of pseudovarieties contained in a given pseudovariety. It clarifies the relationships between alternative descriptions of pseudovarieties and it characterizes those sets of pseudoidentities which are (deductively) closed. © 1990 Birkhÿuser Verlag.

Language: English

Type (Professor's evaluation): Scientific