2012.54: Purity relative to classes of finitely presented modules
2012.54: Akeel Ramadan Mehdi (2012) Purity relative to classes of finitely presented modules.
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 190 Kb |
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 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item