MINIMAL NON-PERMUTATIVE PSEUDOVARIETIES OF SEMIGROUPS .3.

• Type: Article in International Scientific Journal
• Date: 1985

Authors

ALMEIDA, J (Author) Other

Journal

Title: Algebra Universalis

Vol. 21

Pages: 256-279

ISSN: 0002-5240

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-WMQ

DOI: 10.1007/BF01188061

Abstract (EN): Various types of permutativity conditions are important in the study of (pseudo)varieties of semigroups. In previous papers of this series, minimal pseudovarieties failing certain permutativity conditions were determined. This theme is pursued here in relation to a family of conditions which appear in the investigation of power pseudovarieties of semigroups, namely, for each k¿0, we consider the condition Ck on a semigroup that it satisfy the identity x1 ... xky1y2z1 ... zn=x1 ... xky2y1z1 ... zn for some n. For all minimal pseudovarieties failing Ck, a generator and finite basis of identities are specified. © 1985 Birkhÿuser Verlag.

Language: English

Type (Professor's evaluation): Scientific