AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR Journal Article

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.

CU Boulder Authors

• Kearnes, Keith A

publication date

• December 1, 1993

has restriction

• closed

Date in CU Experts

• September 19, 2013 10:51 AM

Full Author List

• KEARNES KA

author count

• 1

published in

• International Journal of Algebra and Computation  Journal

Other Profiles

International Standard Serial Number (ISSN)

• 0218-1967

Electronic International Standard Serial Number (EISSN)

• 1793-6500

Digital Object Identifier (DOI)

• https://doi.org/10.1142/s0218196793000299

Additional Document Info

start page

• 491

end page

• 533

volume

• 03

issue

• 04