Polynomial clones of Mal'cev algebras with small congruence lattices

Erhard Aichinger; Nebojsa Mudrinski

doi:10.1007/s10474-009-9068-z

Polynomial clones of Mal'cev algebras with small congruence lattices

Erhard Aichinger, Nebojsa Mudrinski

Institute for Algebra

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that the polynomials of every finite Mal'cev algebra with congruence lattice of height at most 2 can be described by a finite set of relations.

Original language	German (Austria)
Pages (from-to)	315-333
Number of pages	19
Journal	Acta Mathematica Hungarica
Volume	126
Issue number	4
DOIs	https://doi.org/10.1007/s10474-009-9068-z
Publication status	Published - 2010

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

Access to Document

10.1007/s10474-009-9068-z

Cite this

@article{58a75105dc7c4b2884a630484ed395ca,

title = "Polynomial clones of Mal'cev algebras with small congruence lattices",

abstract = "It is proved that the polynomials of every finite Mal'cev algebra with congruence lattice of height at most 2 can be described by a finite set of relations.",

author = "Erhard Aichinger and Nebojsa Mudrinski",

year = "2010",

doi = "10.1007/s10474-009-9068-z",

language = "Deutsch ({\"O}sterreich)",

volume = "126",

pages = "315--333",

journal = "Acta Mathematica Hungarica",

issn = "0236-5294",

publisher = "Akademiai Kiado, Budapest",

number = "4",

}

TY - JOUR

T1 - Polynomial clones of Mal'cev algebras with small congruence lattices

AU - Aichinger, Erhard

AU - Mudrinski, Nebojsa

PY - 2010

Y1 - 2010

N2 - It is proved that the polynomials of every finite Mal'cev algebra with congruence lattice of height at most 2 can be described by a finite set of relations.

AB - It is proved that the polynomials of every finite Mal'cev algebra with congruence lattice of height at most 2 can be described by a finite set of relations.

U2 - 10.1007/s10474-009-9068-z

DO - 10.1007/s10474-009-9068-z

M3 - Artikel

SN - 0236-5294

VL - 126

SP - 315

EP - 333

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 4

ER -