Erhard Aichinger, Nebojsa Mudrinski,
"Sequences of commutator operations"
, Serie arXiv.org, Nummer arXiv:1205.3297, 5-2012, ISSN: 2331-8422
Original Titel:
Sequences of commutator operations
Sprache des Titels:
Deutsch
Original Kurzfassung:
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.