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