Representable equivalences between categories of modules and applications (Q913914)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Representable equivalences between categories of modules and applications |
scientific article; zbMATH DE number 4148333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representable equivalences between categories of modules and applications |
scientific article; zbMATH DE number 4148333 |
Statements
Representable equivalences between categories of modules and applications (English)
0 references
1989
0 references
The paper gives a systematic treatment of equivalences between two appropriate full strict subcategories of Mod-A and Mod-R where A and R are rings with identity and all modules are unitary. The authors investigate the case when such an equivalence is representable by a bimodule \({}_ AP_ R\), the tensor functor -\(\otimes_{A}P\) and the Hom functor \(Hom_ R(P\),-), generalizing several well-known results on this topic. Moreover, interesting results are obtained related to tilting and duality theory.
0 references
equivalences
0 references
bimodule
0 references
functor
0 references
tilting
0 references
duality
0 references
