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MINIMAL NON-PERMUTATIVE PSEUDOVARIETIES OF SEMIGROUPS .3.

Title
MINIMAL NON-PERMUTATIVE PSEUDOVARIETIES OF SEMIGROUPS .3.
Type
Article in International Scientific Journal
Year
1985
Authors
ALMEIDA, J
(Author)
Other
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Journal
Title: Algebra UniversalisImported from Authenticus Search for Journal Publications
Vol. 21
Pages: 256-279
ISSN: 0002-5240
Publisher: Springer Nature
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-001-WMQ
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
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