Correspondences of closed submodules

Zelmanowitz, Julius

doi:10.1090/S0002-9939-96-03469-7

Correspondences of closed submodules
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by Julius M. Zelmanowitz

Proc. Amer. Math. Soc. 124 (1996), 2955-2960

DOI: https://doi.org/10.1090/S0002-9939-96-03469-7

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Abstract:

If $N$ is an $M$-faithful $R$-module, then there is an order-preserving correspondence between the closed $R$-submodules of $N$ and the closed $S$-submodules of $Hom_R(M,N)$, where $S=End_RM$.

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