ASSOCIATED GRAPHS OF MODULES OVER COMMUTATIVE RINGS

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ABBASI A.; ROSHAN SHEKALGOURABI H.; HASSANZADEH LELEKAAMI D.

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2015 | Volume:10 | Issue:1 Page(s): 45-58

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Title

ASSOCIATED GRAPHS OF MODULES OVER COMMUTATIVE RINGS

Author(s)

ABBASI A. | ROSHAN SHEKALGOURABI H. | HASSANZADEH LELEKAAMI D. | Issue Writer Certificate

Keywords

ASSOCIATED GRAPH OF MODULE

PRIME SPECTRUM

CONNECTED GRAPH

DIAMETER

Abstract

Let R be a commutative ring with identity and let M be an R-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between some algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete, tree or complete bipartite are studied and several characterizations are given.

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APA: Copy

ABBASI, A., ROSHAN SHEKALGOURABI, H., & HASSANZADEH LELEKAAMI, D.. (2015). ASSOCIATED GRAPHS OF MODULES OVER COMMUTATIVE RINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 10(1), 45-58. SID. https://sid.ir/paper/310386/en

Vancouver: Copy

ABBASI A., ROSHAN SHEKALGOURABI H., HASSANZADEH LELEKAAMI D.. ASSOCIATED GRAPHS OF MODULES OVER COMMUTATIVE RINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2015;10(1):45-58. Available from: https://sid.ir/paper/310386/en

IEEE: Copy

A. ABBASI, H. ROSHAN SHEKALGOURABI, and D. HASSANZADEH LELEKAAMI, “ASSOCIATED GRAPHS OF MODULES OVER COMMUTATIVE RINGS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 10, no. 1, pp. 45–58, 2015, [Online]. Available: https://sid.ir/paper/310386/en

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