Seitenbereiche:



Zusatzinformationen:

FUN-Veranstaltungen

FoFö-Stammtisch, 23. November 2017, 14 Uhr siehe Info-Veranstaltungen

Kontakt

Abteilung Forschungsunterstützung (FUN):
forschen@jku.at


Positionsanzeige:

Inhalt:

Forschungseinheiten

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

Congruence lattices forcing nilpotency

Aichinger E.: Congruence lattices forcing nilpotency, in: arXiv, Number arXiv:1610.01800, 2016.

BibTeX

@ARTICLE{
title = {Congruence lattices forcing nilpotency},
type = {Aufsatz / Paper in Online-Archiv (nicht-referiert)},
author = {Aichinger, Erhard},
language = {EN},
abstract = {Given a lattice �� and a class K of algebraic structures, we say that �� \emph{forces nilpotency} in K if every algebra A∈K whose congruence lattice Con(A) is isomorphic to �� is nilpotent. We describe congruence lattices that force nilpotency, supernilpotency or solvability for some classes of algebras. For this purpose, we investigate which commutator operations can exist on a given congruence lattice.},
journal = {arXiv},
number = {arXiv:1610.01800},
month = {10},
year = {2016},
}

Details

Zusammenfassung: Given a lattice �� and a class K of algebraic structures, we say that �� \emph{forces nilpotency} in K if every algebra A∈K whose congruence lattice Con(A) is isomorphic to �� is nilpotent. We describe congruence lattices that force nilpotency, supernilpotency or solvability for some classes of algebras. For this purpose, we investigate which commutator operations can exist on a given congruence lattice.

Journal: arXiv
Nummer: arXiv:1610.01800
Erscheinungsjahr: 2016
Anzahl Seiten: 25
Reichweite: International

Beteiligte

AutorInnen / HerausgeberInnen: Assoz.Univprof. DI Dr. Erhard Aichinger

Forschungseinheiten der JKU:

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

Zurück Zurück