We proved in an earlier work that any existence variety of regular algebras is generated by its simple unital Artinian members, while any existence variety of Arguesian sectionally complemented lattices is generated by its simple members of finite length. A characterization of the class of simple unital Artinian members [members of finite length, respectively] of such varieties is given in the present paper.
@article{bwmeta1.element.doi-10_2478_s11533-010-0056-x,
author = {Christian Herrmann and Marina Semenova},
title = {Generators of existence varieties of regular rings and complemented Arguesian lattices},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {827-839},
zbl = {1248.06008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0056-x}
}
Christian Herrmann; Marina Semenova. Generators of existence varieties of regular rings and complemented Arguesian lattices. Open Mathematics, Tome 8 (2010) pp. 827-839. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0056-x/
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