2 Contributo in Volume

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2.1 Contributo in volume (Capitolo o Saggio) 13051
2.2 Prefazione/Postfazione 436
2.3 Breve introduzione 309
2.4 Voce (in dizionario o enciclopedia) 1352
2.5 Traduzione in volume 140
2.6 Recensione in volume 13
2.7 Schede di catalogo, repertorio o corpus 781

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Absolutely Pure Modules and Locally Injective Modules

Goro Azumaya asked the following question: if every absolutely pure left module over a ring R is locally injective, is R left Noetherian? The technique the authors’ make use of is to study the notions of absolutely pure module and locally injective module over almost maximal valuation domains. Over these rings absolutely pure modules turn out to be divisible modules, and locally injective modules turn out to be h-divisible modules. It is then easy to construct an example of an almost maximal ...

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