Publication: Fully invariant-extending modular lattices, and applications (I)
Abstract
Based on the concept of a linear morphism of lattices, recently introduced in the literature, we introduce and investigate in this paper the latticial counterpart of the notion of a fully invariant-extending module. (C) 2018 Elsevier Inc. All rights reserved.
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Keywords
Osofsky-smith theorem, Grothendieck categories, Torsion theories, Summands, Rings, Modular lattice, Upper continuous lattice, Linear morphism of lattices, Fully invariant submodule, Fully invariant element, Fully invariant-extending lattice, Science & technology, Physical sciences, Mathematics
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