Associated graphs of le-modules
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Abstract
Let M be an le-module over a commutative ring with unity. In this paper, an associated graph G(M) of M with all nonzero proper submodule elements of M as vertices has been introduced and studied. Any two distinct vertices n and m are adjacent if n +m = e. Some algebraic, topological and, graph theoretic properties of le-modules have been established. Also, it is shown that the Beck’s conjecture is true for coatomic le-modules.
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This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Sadashiv Ramkrushna Puranik, Sachin Ballal, & Vilas Kharat. (2021). Associated graphs of le-modules. International Journal of Next-Generation Computing, 12(2), 280–291. https://doi.org/10.47164/ijngc.v12i2.195
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