Minimal nonpermutative pseudovarieties of semigroups. II

Jorge Almeida

Vol. 121 (1986), No. 2, 271–279

DOI: 10.2140/pjm.1986.121.271

Abstract

This paper is the continuation of a previous paper in which all minimal non-𝒫-permutative pseudovarieties of 𝒞 were determined where 𝒫-permutativity was one of several conditions implying permutativity and 𝒞 was the class of either (finite) groups, monoids or semigroups. In this work, the most general case of this type is treated, namely when 𝒫-permutativity is permutativity and 𝒞 is the class of all finite semi- groups.

Mathematical Subject Classification 2000

Primary: 20M07

Secondary: 20M05

Milestones

Received: 10 April 1984

Published: 1 February 1986