A REDUCTION THEOREM FOR RING VARIETIES WHOSE SUBVARIETY LATTICE IS DISTRIBUTIVE.

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Title: A REDUCTION THEOREM FOR RING VARIETIES WHOSE SUBVARIETY LATTICE IS DISTRIBUTIVE.
Authors: Volkov, Mikhail V.1 Mikhail.Volkov@usu.ru
Source: Discussiones Mathematicae: General Algebra & Applications. 2010, Vol. 30 Issue 1, p119-132. 14p. 1 Diagram.
Subjects: Integral theorems, Associative rings, Lattice theory, Finite element method, Mathematics
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. [ABSTRACT FROM AUTHOR]
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Description
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. [ABSTRACT FROM AUTHOR]
ISSN:15099415
DOI:10.7151/dmgaa.1165