Almost dual pairs and definable classes of modules
Akeel Ramadan Mehdi, Mike Prest
TL;DR
This paper explores the duality between classes of modules with support and cosupport, extending Holm's results by framing them within elementary duality on definable subcategories.
Contribution
It generalizes Holm's work by applying elementary duality to a broader context of definable classes of modules.
Findings
Extended Holm's results to elementary duality context
Characterized dual pairs of definable classes of modules
Provided new insights into module support and cosupport relationships
Abstract
Holm (H. Holm, Modules with cosupport and injective functors, Algebr. Represent. Theor., 13 (2010), 543-560) 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
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology