A Note on Projective Modules

Published 16 Nov 2020 in math.AC | (2011.08086v1)

Abstract: This expository note delves into the theory of projective modules parallel to the one developed for injective modules by Matlis. Given a perfect ring $R$, we present a characterization of indecomposable projective $R$-modules and describe a one-to-one correspondence between the projective indecomposable $R$-modules and the simple $R$-modules.

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Hossein Faridian

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