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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1165,
author = {Mikhail V. Volkov},
title = {A reduction theorem for ring varieties whose subvariety lattice is distributive},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {30},
year = {2010},
pages = {119-132},
zbl = {1242.08003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1165}
}
Mikhail V. Volkov. A reduction theorem for ring varieties whose subvariety lattice is distributive. Discussiones Mathematicae - General Algebra and Applications, Tome 30 (2010) pp. 119-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1165/
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