On A Graph Of Submodules

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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:23 Issue:3
On A Graph Of Submodules

On A Graph Of Submodules

Authors : Ali Öztürk, Tahire ÖZEN, Erol YILMAZ

Pages : 396-402

Doi:10.16984/saufenbilder.483138

View : 22 | Download : 11

Publication Date : 2019-06-01

Article Type : Research Paper

Abstract :Let S be an assosiative ring with identitiy and N be a right S-module. We define the non-maximal graph m insert ignore into journalissuearticles values(N); of N with all non-trivial submodules of N as vertices and two distinct vertices A,B are adjecent if and only if A + B is not maximal submodule of N. In this paper, we investigate the connectivity, completeness, girth, domination nuber, cut edges, perfectness and r-partite of m insert ignore into journalissuearticles values(N);. Moreover, we give connections between the graph-theoretic properties of m insert ignore into journalissuearticles values(N); and algebraic properties of N.
Keywords : Non maximal submodule, connected and copmlete graph

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