Extending modules which are direct sums of injective modules and semisimple modules
Autor: | Catarina Santa-Clara, Patrick F. Smith |
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Rok vydání: | 1996 |
Předmět: | |
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 |
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