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Aufsatz / Paper in Online-Archiv (nicht-referiert)

Sequences of commutator operations

Aichinger E., Mudrinski N.: Sequences of commutator operations, in: arXiv, Number arXiv:1205.3297, 2012.

BibTeX

@ARTICLE{
title = {Sequences of commutator operations},
type = {Aufsatz / Paper in Online-Archiv (nicht-referiert)},
author = {Aichinger, Erhard and Mudrinski, Nebojsa},
language = {DE},
abstract = {Given the congruence lattice L of a finite algebra A with a Mal'cev term, we look for those sequences of operations on L that are sequences of higher commutator operations of expansions of A. The properties of higher commutators proved so far delimit the number of such sequences: the number is always at most countably infinite; if it is infinite, then L is the union of two proper subintervals with nonempty intersection.},
journal = {arXiv},
number = {arXiv:1205.3297},
month = {5},
year = {2012},
}

Details

Zusammenfassung: Given the congruence lattice L of a finite algebra A with a Mal'cev term, we look for those sequences of operations on L that are sequences of higher commutator operations of expansions of A. The properties of higher commutators proved so far delimit the number of such sequences: the number is always at most countably infinite; if it is infinite, then L is the union of two proper subintervals with nonempty intersection.

Journal: arXiv
Nummer: arXiv:1205.3297
Erscheinungsjahr: 2012
Anzahl Seiten: 9
Reichweite: International

Beteiligte

AutorInnen / HerausgeberInnen: Assoz.Univprof. DI Dr. Erhard Aichinger, Dr. Nebojsa Mudrinski

Forschungseinheiten der JKU:

Wissenschaftszweige: 101 Mathematik | 101001 Algebra | 101005 Computeralgebra | 101013 Mathematische Logik | 102031 Theoretische Informatik

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