Projectivity and isomorphisms of strictly simple algebras

1996/05/16 by Keith A. Kearnes, Kearnes, Keith A., Ágnes Szendrei +2
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA

paper · pdf · doi:10.48550/arxiv.math/9605236

arxiv created 1996/05/16 · openalex publication_date 1996/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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