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TOTAL GRAPH OF A COMMUTATIVE SEMIRING WITH RESPECT TO IDENTITY-SUMMAND ELEMENTS

Mehdi Khoramdel|Saboura Dolati Pish Hesari|Shahabaddin Ebrahimi Atani
대한수학회 (The Korean Mathematical Society)|2014.05|대한수학회지 (Journal of the KMS)|제51권 제3호|pp. 593-607

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참고문헌

키워드

I-semiringminimal prime co-idealidentity-summand graphtotal identity-summand graph.
주제분류수학

초록

Let R be an I-semiring and S(R) be the set of all identity- summand elements of R. In this paper we introduce the total graph of R with respect to identity-summand elements, denoted by T(Γ(R)), and investigate basic properties of S(R) which help us to gain interesting results about T(Γ(R)) and its subgraphs.

Abstract

Let R be an I-semiring and S(R) be the set of all identity- summand elements of R. In this paper we introduce the total graph of R with respect to identity-summand elements, denoted by T(Γ(R)), and investigate basic properties of S(R) which help us to gain interesting results about T(Γ(R)) and its subgraphs.

참고문헌 (24)

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관련 논문AI추천

THE IDENTITY-SUMMAND GRAPH OF COMMUTATIVE SEMIRINGSMehdi Khoramdel, Saboura Dolati Pish Hesari, Shahabaddin Ebrahimi Atani대한수학회 · 대한수학회지2014 · 제51권 제1호TOTAL IDENTITY-SUMMAND GRAPH OF A COMMUTATIVE SEMIRING WITH RESPECT TO A CO-IDEALMehdi Khoramdel, Saboura Dolati Pish Hesari, Shahabaddin Ebrahimi Atani대한수학회 · 대한수학회지2015 · 제52권 제1호The total graph of a commutative ring with respect to proper idealsAhmad Abbasi, Shokoofe Habibi대한수학회 · 대한수학회지2012 · 제49권 제1호On Comaximal Graphs of Near-ringsBalasubramanian Elavarasan, Patchirajulu Dheena경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호Some graph theoretical properties over zero-divisor graphs of special finite commutative ringsM. Togan, N. Akgunes장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제2호A generalized ideal based-zero divisor graphs of near-ringsBalasubramanian Elavarasan, Patchirajulu Dheena대한수학회 · 대한수학회논문집2009 · 제24권 제2호

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