A property of the solvable radicalin finitely decidable varieties
Volume 170 / 2001
Fundamenta Mathematicae 170 (2001), 69-86
MSC: Primary 03B25; Secondary 08B99.
DOI: 10.4064/fm170-1-4
Abstract
It is shown that in a finitely decidable equational class, the solvable radical of any finite subdirectly irreducible member is comparable to all congruences of the irreducible if the type of the monolith is ${\bf 2} $. In the type ${\bf 1} $ case we establish that the centralizer of the monolith is strongly solvable.
