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2012.54: Purity relative to classes of finitely presented modules

2012.54: Akeel Ramadan Mehdi (2012) Purity relative to classes of finitely presented modules.

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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.

Item Type:MIMS Preprint
Uncontrolled Keywords:purity, pure-injective, pure-projective, dual module, $(m,n)$-purity, finite-dimensional algebra, Auslander-Reiten translate, Ziegler closure, full support closure, tame hereditary algebra, adic module, generic module, Pr\"{u}fer module
Subjects:MSC 2000 > 16 Associative rings and algebras
MIMS number:2012.54
Deposited By:Professor Mike Prest
Deposited On:09 May 2012

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