The rank of variants of nilpotent pseudovarieties

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Almeida, J (Author) FCUP; Shahzamanian, MH (Author) FCUP

Journal

Title: Journal of Algebra

Vol. 609

Pages: 44-86

ISSN: 0021-8693

Publisher: Elsevier

Indexing

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Other information

Authenticus ID: P-00W-Y7M

DOI: 10.1016/j.jalgebra.2022.06.009

Abstract (EN): We investigate the rank of pseudovarieties defined by several of the variants of nilpotency conditions for semigroups in the sense of Mal'cev. For several of them, we provide finite bases of pseudoidentities. We also show that the Neumann-Taylor variant does not have finite rank.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 43