Extending modules which are direct sums of injective modules and semisimple modules

Autor:	Catarina Santa-Clara, Patrick F. Smith
Rok vydání:	1996
Předmět:	Noetherian Discrete mathematics Pure mathematics Algebra and Number Theory If and only if Injective module Injective function Divisible group Mathematics Resolution (algebra)
Zdroj:	Communications in Algebra. 24:3641-3651
ISSN:	1532-4125 0092-7872
Popis:	It is proved that, if R is a right Noetherian ringM 1 is an injective right R-module and M 2 is a semisimple right R-module, then the right R-module M 1 + M 2 is extending if and only if M 2 is (M 1/Soc(M 1))-injective.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7dae849128321e2e3c95cdcc82185ea1 https://doi.org/10.1080/00927879608825776 Zobrazit plný text záznamu