AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR Journal Article uri icon

Overview

abstract

  • We describe a new order-theoretic property of the commutator for finite algebras. As a corollary we show that any right nilpotent congruence on a finite algebra is left nilpotent. The result is false for infinite algebras and the converse is false even for finite algebras. We show further that any solvable E-minimal algebra is left nilpotent, any finite algebra whose congruence lattice contains a 0, 1-sublattice isomorphic to M3 is left nilpotent and any homomorphic image of a finite abelian algebra is left and right nilpotent.

publication date

  • December 1, 1993

Full Author List

  • KEARNES KA

Other Profiles

Additional Document Info

start page

  • 491

end page

  • 533

volume

  • 03

issue

  • 04