A generalization of Morita Duality by Localizations

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概要

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• Let R and S be rings with identity, and Mod-R and S-Mod the category of unital right R- and left S-modules, respectively. Also let A and B be full subcategories of Mod-R and S-Mod such that A〓R and B〓S and both are closed under finite direct sums, submodules and epimomorphic images. We will find conditions in order that there exists a duality between Giraud subcategories of A and B. As an application of this we will obtain a general result of [8] about Morita duality between Grothendieck categories.

• 群馬大学の論文

著者

• 大竹 公一郎

  Department of Mathematics, Faculty of Education, Gunma University

• Ohtake Koichiro

  Department Of Mathematics Faculty Of Education Gunma University

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• A generalization of Morita Duality by Localizations

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