Tolerances as images of congruences in varieties defined by linear identities
Rings and Algebras
2014-04-08 v1
Abstract
An identity s=t is linear if each variable occurs at most once in each of the terms s and t. Let T be a tolerance relation of an algebra A in a variety defined by a set of linear identities. We prove that there exist an algebra B in the same variety and a congruence Theta of B such that a homomorphism from B onto A maps Theta onto T.
Cite
@article{arxiv.1207.1733,
title = {Tolerances as images of congruences in varieties defined by linear identities},
author = {Ivan Chajda and Gábor Czédli and Radomir Halas and Paolo Lipparini},
journal= {arXiv preprint arXiv:1207.1733},
year = {2014}
}
Comments
3 pages