Dualizable algebras with parallelogram terms
Rings and Algebras
2016-01-01 v2
Abstract
We prove that if A is a finite algebra with a parallelogram term that satisfies the split centralizer condition, then A is dualizable. This yields yet another proof of the dualizability of any finite algebra with a near unanimity term, but more importantly proves that every finite module, group or ring in a residually small variety is dualizable.
Cite
@article{arxiv.1502.02192,
title = {Dualizable algebras with parallelogram terms},
author = {Keith A. Kearnes and Agnes Szendrei},
journal= {arXiv preprint arXiv:1502.02192},
year = {2016}
}