模的关联图

Int. J. Next Gener. Comput. Pub Date : 2021-04-29 DOI:10.47164/IJNGC.V12I2.761

Sadashiv Ramkrushna Puranik, Sachin Ballal, V. Kharat

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引用次数: 0

摘要

设M是可交换环上的一个l模。本文引入并研究了M的一个以M的所有非零固有子模元素为顶点的关联图G(M)。当n+m = e时，任意两个不同的顶点n和m相邻。本文建立了l -模的一些代数、拓扑和图论性质。此外，还证明了贝克猜想对于共原子模是成立的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Associated graphs of le-modules

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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Int. J. Next Gener. Comput.

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