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Correspondences of Coclosed Submodules by Crivei, Septimiu; Inankıl, Hatice; Koşan, M. Tamer; Olteanu, Gabriela is a scholarly article available to read on EtoBox.

What is Correspondences of Coclosed Submodules about?

We establish an order-preserving bijective correspondence between the sets of coclosed elements of some bounded lattices related by suitable Galois connections. As an application, we deduce that if $M$ is a finitely generated quasi-projective left $R$-module with $S=End_R(M)$ and $N$ is an $M$-generated left $R$-module, then there exists an order-preserving bijective correspondence between the sets of coclosed left $R$-submodules of $N$ and coclosed left $S$-submodules of $Hom_R(M,N)$.

Author

Crivei, Septimiu; Inankıl, Hatice; Koşan, M. Tamer; Olteanu, Gabriela

Published

2012

Language

EN