Bounding the free spectrum of nilpotent algebras of prime power order
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
AAA96 - 96th Workshop on General Algebra
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
A fundamental theorem on nilpotency (proved by
Vaughan-Lee, Freese, McKenzie, Berman, and Blok) states that ev-
ery nilpotent algebra in a congruence modular variety with finitely
many fundamental operations is supernilpotent, i.e., has a ?small
free spectrum?. We re-prove this result by using a coordinatisation
of the algebra by polynomials over a finite field, and thereby obtain
a bound on the supernilpotency degree of such an algebra.