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Baer-Galois connections and applications. (English) Zbl 1324.06003

Summary: We define Baer-Galois connections between bounded modular lattices. We relate them to lifting lattices and we show that they unify the theories of (relatively) Baer and dual Baer modules.

MSC:

06A15 Galois correspondences, closure operators (in relation to ordered sets)
16D80 Other classes of modules and ideals in associative algebras
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
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