Characterizing tolerance trivial finite algebras

Ivan Chajda

Archivum Mathematicum (1994)

  • Volume: 030, Issue: 3, page 165-169
  • ISSN: 0044-8753

Abstract

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An algebra A is tolerance trivial if A ̰ = A where A ̰ is the lattice of all tolerances on A . If A contains a Mal’cev function compatible with each T A ̰ , then A is tolerance trivial. We investigate finite algebras satisfying also the converse statement.

How to cite

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Chajda, Ivan. "Characterizing tolerance trivial finite algebras." Archivum Mathematicum 030.3 (1994): 165-169. <http://eudml.org/doc/247549>.

@article{Chajda1994,
abstract = {An algebra $A$ is tolerance trivial if $A̰= A$ where $A̰$ is the lattice of all tolerances on $A$. If $A$ contains a Mal’cev function compatible with each $T$$A̰$, then $A$ is tolerance trivial. We investigate finite algebras satisfying also the converse statement.},
author = {Chajda, Ivan},
journal = {Archivum Mathematicum},
keywords = {tolerance relation; finite algebra; lattice; tolerance trivial algebra; Mal’cev function; Pixley function; arithmetical algebra; finite lattice; finite algebras; tolerance; Mal'cev function},
language = {eng},
number = {3},
pages = {165-169},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Characterizing tolerance trivial finite algebras},
url = {http://eudml.org/doc/247549},
volume = {030},
year = {1994},
}

TY - JOUR
AU - Chajda, Ivan
TI - Characterizing tolerance trivial finite algebras
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 3
SP - 165
EP - 169
AB - An algebra $A$ is tolerance trivial if $A̰= A$ where $A̰$ is the lattice of all tolerances on $A$. If $A$ contains a Mal’cev function compatible with each $T$$A̰$, then $A$ is tolerance trivial. We investigate finite algebras satisfying also the converse statement.
LA - eng
KW - tolerance relation; finite algebra; lattice; tolerance trivial algebra; Mal’cev function; Pixley function; arithmetical algebra; finite lattice; finite algebras; tolerance; Mal'cev function
UR - http://eudml.org/doc/247549
ER -

References

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