Erhard Aichinger, Peter Mayr,
"Finitely generated equational classes"
, in arXiv.org, Nummer arXiv:1403.7938, 3-2014, ISSN: 2331-8422
Original Titel:
Finitely generated equational classes
Sprache des Titels:
Englisch
Original Kurzfassung:
Classes of algebraic structures that are defined by equational laws are called varieties or equational classes. A variety is finitely generated if it is defined by the laws that hold in some fixed finite algebra. We show that every subvariety of a finitely generated congruence permutable variety is finitely generated; in fact, we prove the more general result that if a finitely generated variety has an edge term, then all its subvarieties are finitely generated as well. This applies in particular to all varieties of groups, loops, quasigroups and their expansions (e.g., modules, rings, Lie algebras,...).
Sprache der Kurzfassung:
Englisch
Journal:
arXiv.org
Number:
arXiv:1403.7938
Erscheinungsmonat:
3
Erscheinungsjahr:
2014
ISSN:
2331-8422
Anzahl der Seiten:
17
Reichweite:
international
Publikationstyp:
Aufsatz / Paper in Online-Archiv (nicht-referiert)
Forschungs-