On the Loewy rank of infinite algebras
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.
finitely generated congruence modular varieties
scientific article; zbMATH DE number 146933