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.
Sprache der Kurzfassung:
Deutsch
Journal:
arXiv
Number:
arXiv:1205.3297
Erscheinungsmonat:
5
Erscheinungsjahr:
2012
Anzahl der Seiten:
9
Reichweite:
international
Publikationstyp:
Aufsatz / Paper in Online-Archiv (nicht-referiert)
Forschungs-