Projectivity and isomorphisms of strictly simple algebras
Rings and Algebras
2008-02-03 v1
Abstract
We describe a sufficient condition for the localization functor to be a categorical equivalence. Using this result we explain how to simplify the test for projectivity. This leads to a description of the strictly simple algebras which are projective in the variety they generate. A byproduct of our efforts is the result that if A and B are strictly simple and generate the same variety, then A=B or else both are strongly abelian.
Cite
@article{arxiv.math/9605236,
title = {Projectivity and isomorphisms of strictly simple algebras},
author = {Keith A. Kearnes and Ågnes Szendrei},
journal= {arXiv preprint arXiv:math/9605236},
year = {2008}
}