ArticleOriginal scientific text
Title
A reduction theorem for ring varieties whose subvariety lattice is distributive
Authors 1
Affiliations
- Faculty of Mathematics and Mechanics, Ural State University, Lenina 51, 620083 Ekaterinburg, Russia
Abstract
We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field.
Keywords
variety of rings, subvariety lattice, distributive lattice, torsion-bounded variety, Mal'tsev product
Bibliography
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Pages:
119-132
Main language of publication
English
Received
2009-05-01
Accepted
2009-11-04
Published
2010
DOI: 10.7151/dmgaa.1165
Exact and natural sciences