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Almost Dual Pairs and Definable Classes of Modules |
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| Authors: | Akeel Ramadan Mehdi Mike Prest |
| Affiliation: | 1. School of Mathematics , University of Manchester , Manchester , United Kingdom akeel_math@yahoo.com;3. School of Mathematics , University of Manchester , Manchester , United Kingdom |
| Abstract: | In [7] Holm considers categories of right modules dual to those with support in a set of finitely presented modules. We extend some of his results by placing them in the context of elementary duality on definable subcategories. In doing so we also prove that dual modules have enough indecomposable direct summands. |
| Keywords: | Almost dual pair Definable class Duality of modules Elementary duality Indecomposable summand Modules with cosupport PP formula Σ-pure-injective Pure-injective module |