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arXiv · 1207.1733

Tolerances as images of congruences in varieties defined by linear identities

Ivan Chajda·Gábor Czédli·Radomir Halas·Paolo Lipparini
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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.

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Ivan Chajda, Gábor Czédli, Radomir Halas, Paolo Lipparini. 2012-07-06. Tolerances as images of congruences in varieties defined by linear identities. https://doi.org/10.1007/s00012-013-0219-2

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