Geometric scales for varieties of algebras and quasi-identities
Matematičeskie trudy, Tome 12 (2009) no. 2, pp. 160-169
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We introduce a preorder for universal algebras with respect to their geometries. This naturally leads to the notion of the geometric scale for a variety of algebras. We investigate connections between the introduced relation and infinite quasi-identities that hold in algebras, as well as other properties of the relation and the scale.
@article{MT_2009_12_2_a7,
author = {A. G. Pinus},
title = {Geometric scales for varieties of algebras and quasi-identities},
journal = {Matemati\v{c}eskie trudy},
pages = {160--169},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2009_12_2_a7/}
}
A. G. Pinus. Geometric scales for varieties of algebras and quasi-identities. Matematičeskie trudy, Tome 12 (2009) no. 2, pp. 160-169. http://geodesic.mathdoc.fr/item/MT_2009_12_2_a7/