Erhard Aichinger,
"Congruence lattices forcing nilpotency"
, Serie arXiv.org, Nummer arXiv:1610.01800, 10-2016, ISSN: 2331-8422
Original Titel:
Congruence lattices forcing nilpotency
Sprache des Titels:
Englisch
Original Kurzfassung:
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.
Forschungs-