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Linear compactness and Morita duality

✍ Scribed by Bruno J Müller


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
382 KB
Volume
16
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES


Baer and Morita Duality
✍ Pham Ngoc Ánh; Dolors Herbera; Claudia Menini 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 174 KB

Grothendieck's condition AB5 \* is used to characterize Baer dualities, i.e, triples (R R U T T ) consisting of rings R T and a bimodule R U T faithful on both sides such that the lattices of R R and U T submodules, as well as R U and T T , are anti-isomorphic.

AB-5* and Linear Compactness
✍ Pham Ngoc Ánh; Dolors Herbera; Claudia Menini 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 231 KB

It is well known that there is a close relation between linear compactness and the Grothendieck condition AB-5\*. In fact, for any cocomplete abelian category these conditions are equivalent to the exactness of inverse limits. However, the module categories are not selfdual and therefore Ž . these c