Projectivity and isomorphisms of strictly simple algebras

Details Projectivity and isomorphisms of strictly simple algebras Projectivity and isomorphisms of strictly simple algebras

1996-05-16

arxiv.org/abs/math/9605236v1

Mathematics

Rings and Algebras

Scientific paper

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.

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