Flat and projective character modules

Cheatham, Thomas J.; Stone, David R.

doi:10.1090/S0002-9939-1981-0593450-2

Flat and projective character modules
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by Thomas J. Cheatham and David R. Stone PDF

Proc. Amer. Math. Soc. 81 (1981), 175-177 Request permission

Abstract:

We characterize left coherent, left Noetherian, and left Artinian rings by the flatness, projectivity, and injectivity of the character module of certain left $R$-modules.

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