WHEN IDEAL-BASED ZERO-DIVISOR GRAPHS ARE COMPLEMENTED OR UNIQUELY COMPLEMENTED

Jesse Gerald Smith Jr

doi:https://doi.org/10.24330/ieja.296332

Makale detayları

WHEN IDEAL-BASED ZERO-DIVISOR GRAPHS ARE COMPLEMENTED OR UNIQUELY COMPLEMENTED

Yazarlar:

Jesse Gerald Smith Jr

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.198-216

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000718092

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.296332

Özet:

 


Let R be a commutative ring with nonzero identity and I a proper
ideal of R. The ideal-based zero-divisor graph of R with respect to the ideal
I, denoted by ΓI (R), is the graph on vertices {x ∈ R \ I | xy ∈ I for some
y ∈ R\I}, where distinct vertices x and y are adjacent if and only if xy ∈ I. In
this paper, we give a complete classification of when an ideal-based zero-divisor
graph of a commutative ring is complemented or uniquely complemented based
on the total quotient ring of R/I.

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Makale detayları

WHEN IDEAL-BASED ZERO-DIVISOR GRAPHS ARE COMPLEMENTED OR UNIQUELY COMPLEMENTED

Yazarlar: Jesse Gerald Smith Jr

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.198-216

Belge Tipi: Makale

Yayın Tarihi: 1/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000718092

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.296332

Sayı

Yazarlar:

Jesse Gerald Smith Jr

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.198-216

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000718092

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.296332