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Correspondences of closed submodules

Author(s): Julius M. Zelmanowitz
Journal: Proc. Amer. Math. Soc. 124 (1996), 2955-2960.
MSC (1991): Primary 16S50; Secondary 16D70
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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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Additional Information:

Julius M. Zelmanowitz
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: julius@math.ucsb.edu

DOI: 10.1090/S0002-9939-96-03469-7
PII: S 0002-9939(96)03469-7
Received by editor(s): March 7, 1995
Communicated by: Ken Goodearl
Copyright of article: Copyright 1996, American Mathematical Society

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