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Showing 1 to 3 of 3 for “"Injective module"”.
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Some generalizations of injectivity
… of when the direct sum of extending modules is extending. We find sufficient conditions for a direct sum of two extending modules to be extending, generalizing several known results. We characterize when the direct sum of an extending module and an injective module is extending and …
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Gorenstein Injective Modules
… algebra is: when is the class of Gorenstein injective modules closed under arbitrary direct sums? Our main result gives a sufficient condition for this to happen. We prove that when the ring R is noetherian and such that every R-module has finite Gorenstein injective dimension, every direct …
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Zero Divisors, Group Von Neumann Algebras and Injective Modules
… about the injectivity of some spaces as ℂ𝐺 modules for some groups 𝐺.