On the Loewy rank of infinite algebras
type: Item
instance of: scholarly article
title: On the Loewy rank of infinite algebras
zbMATH Open document ID: 0773.08004
DOI: 10.1007/BF01212442
author: Emil W. Kiss
published in: Algebra Universalis
publication date: 1993-04-01T00:00:00Z
review text: This paper answers a question of Ralph McKenzie on the Loewy-rank of finitely generated congruence modular varieties, by using the theory of the modular commutator. As a main tool, a group-theoretic lemma of L. G. Kovács and M. F. Newman is generalized, which is of independent interest. This lemma gives information on subdirectly irreducible algebras in finitely generated modular varieties.
Mathematics Subject Classification ID: 08B10
Mathematics Subject Classification ID: 08B26
zbMATH DE Number: 146933
zbMATH Keywords: Loewy-rank
zbMATH Keywords: finitely generated congruence modular varieties
zbMATH Keywords: modular commutator
zbMATH Keywords: subdirectly irreducible algebras
MaRDI profile type: Publication
cites work: Q3775604
cites work: Nilpotent and solvable radicals in locally finite congruence modular varieties
cites work: Equational classes generated by finite algebras
description: scientific article; zbMATH DE number 146933