On A Graph Of Submodules

Ali Öztürk; Tahire ÖZEN; Erol YILMAZ

doi:https://doi.org/10.16984/saufenbilder.483138

Makale detayları

On A Graph Of Submodules

Yazarlar:

Ali Öztürk | Tahire ÖZEN | Erol YILMAZ

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2019 Vol.23 Issue 3, pp.396-402

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000557245

DOI:

https://doi.org/10.16984/saufenbilder.483138

Özet:

 


Let
S be an assosiative ring with identitiy and N be a right S-module. We define
the non-maximal graph m(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(N). Moreover,  we
give connections between the graph-theoretic properties of m(N) and algebraic properties of
N. 

.

Makale detayları

On A Graph Of Submodules

Yazarlar: Ali Öztürk | Tahire ÖZEN | Erol YILMAZ

Ana Başlıklar: Matematik

Dergi: Sakarya University Journal of Science 2019 Vol.23 Issue 3, pp.396-402

Belge Tipi: Makale

Yayın Tarihi: 5/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000557245

DOI: https://doi.org/10.16984/saufenbilder.483138

Sayı

Yazarlar:

Ali Öztürk | Tahire ÖZEN | Erol YILMAZ

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2019 Vol.23 Issue 3, pp.396-402

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000557245

DOI:

https://doi.org/10.16984/saufenbilder.483138