Albu, TomaKara, YelizTercan, Adnan2024-07-172024-07-172019-01-010021-8693https://doi.org/10.1016/j.jalgebra.2018.08.036https://www.sciencedirect.com/science/article/pii/S0021869318305635?via%3Dihubhttps://hdl.handle.net/11452/43301Based 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.eninfo:eu-repo/semantics/openAccessOsofsky-smith theoremGrothendieck categoriesTorsion theoriesSummandsRingsModular latticeUpper continuous latticeLinear morphism of latticesFully invariant submoduleFully invariant elementFully invariant-extending latticeScience & technologyPhysical sciencesMathematicsArticle00044958000000920722251710.1016/j.jalgebra.2018.08.0361090-266X