๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generalizing Morita Duality: A Homological Approach

โœ Scribed by Alberto Tonolo

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
131 KB
Volume
232
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

Let R and S be arbitrary associative rings. Given a bimodule W , we denote by R S ลฝ . 1 ลฝ . โŒฌ and โŒซ the functors Hom y, W and Ext y, W , where ? s R or S. The ? ? ? ? functors โŒฌ and โŒฌ are right adjoint with the evaluation maps โฆ as unities. A R S module M is โŒฌ-reflexive if โฆ is an isomorphism. In this paper we give, for a M weakly cotilting bimodule W , the notion of โŒซ-reflexivity. We construct large R S Abelian subcategories M M and M M where the functors โŒซ and โŒซ are left adjoint R S R S and a ''cotilting theorem'' holds. แฎŠ 2000 Academic Press R S โŒฌ-reflexiยจe if โฆ is an isomorphism.

๐Ÿ“œ SIMILAR VOLUMES

A canonical approach to duality transfor
A canonical approach to duality transformations
โœ Enrique รlvarez; Luis รlvarez-Gaumรฉ; Yolanda Lozano ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 586 KB
Peptide homologs, isosteres, and isomers
Peptide homologs, isosteres, and isomers: A general approach to structureโ€“activity relationships
โœ Murray Goodman ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Wiley (John Wiley & Sons) ๐ŸŒ English โš– 840 KB

## Synopsis A general approach to study peptide structure is presented using three areas of ongoing research in our laboratories. The first involves the molecular basis for taste of peptide derivatives. We synthesized dipeptidies based on baspartyl-a-aminocycloalkane carboxylic acid methyl ester.