Strongly Extending Modular Lattices
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Authors: S. E. ATANI, M. KHORAMDEL, S. D. P. HESARI AND M. N. R. ALIPOUR
DOI: 10.46793/KgJMat2504.541A
Abstract:
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.
Keywords:
Modular lattice, upper continuous lattice, linear lattice morphism, fully invariant element, strongly extending lattice.
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