Correspondences of closed submodules

Author:

Zelmanowitz Julius

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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