Purity relative to classes of finitely presented modules

Mehdi, Akeel Ramadan (2012) Purity relative to classes of finitely presented modules. [MIMS Preprint]

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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 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras
Depositing User: Professor Mike Prest
Date Deposited: 09 May 2012
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1823

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