Geodesic
Strongly Extending Modular Lattices
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 541

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, our purpose is to initiate the study of the concept of strongly extending modular lattices based on the similar notion of strongly extending modules. We will prove some basic properties of strongly extending modular lattices and employ this results to give applications to the category of modules with a fixed hereditary torsion class and Grothendieck categories.
Classification : 06C05, 06C99, 06B35, 16D80
Keywords: modular lattice, upper continuous lattice, linear lattice morphism, fully invariant element, strongly extending lattice 
Shahabaddin Ebrahimi Atani; Mehdi Khoramdel; Saboura Dolati Pish Hesari; Mahsa Nikmard Rostam Alipour. Strongly Extending Modular Lattices. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 541 . http://geodesic.mathdoc.fr/item/KJM_2025_49_4_a3/
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     title = {Strongly {Extending} {Modular} {Lattices}},
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