Purity Relative to Classes of Finitely Presented Modules

2012/05/11 by Akeel Ramadan Mehdi, Mehdi, Akeel Ramadan
Mathematics · #16D10 #16G10 #16L30 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16D10 #msc:16G10 #msc:16L30

paper · pdf · doi:10.48550/arxiv.1205.2677

arxiv created 2012/05/11 · arxiv updated 2012/05/14

Abstract

We investigate purities determined by classes of finitely presented modules including the correspondence between purities for left and right modules. We show some cases where purities determined by matrices of given sizes are different. Then we consider purities over finite-dimensional algebras, giving a general description of the relative pure injectives which we make completely explicit in the case of tame hereditary algebras.

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