On a graph of submodules
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Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Let S be an associative ring with identity and N be a right S-module. We define the non-maximal graph µ(N) of N with all non-trivial submodules of N as vertices and two distinct vertices A, B are adjacent if and only if A + B is not a maximal submodule of N. In this paper, we investigate the connectivity, completeness, girth, domination number, cut edges, perfectness and r-partite of µ(N). Moreover, we give connections between the graph-theoretic properties of µ(N) and algebraic properties of N.
Açıklama
Anahtar Kelimeler
Non-maximal Submodule, Connected and Complete Graph, Clique and Chromatic Number
Kaynak
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
23
Sayı
3
