A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING

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DORBIDI HAMID REZA; ALIKHANI SAEID

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2020 | Volume:7 | Issue:2 Page(s): 143-154

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Information Journal Paper

Title

A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING

Author(s)

DORBIDI HAMID REZA | ALIKHANI SAEID | Issue Writer Certificate

Keywords

Graph

Diameter

Ring

Idempotent

Abstract

In this paper we introduce and study a Graph on the set of ideals of a commutative Ring RR. The vertices of this Graph are non-trivial ideals of RR and two distinct ideals II and JJ are adjacent if and only IJ=I∩ JIJ=I∩ J. We obtain some properties of this Graph and study its relation to the structure of RR.

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APA: Copy

DORBIDI, HAMID REZA, & ALIKHANI, SAEID. (2020). A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING. JOURNAL OF ALGEBRAIC SYSTEMS, 7(2 ), 143-154. SID. https://sid.ir/paper/268358/en

Vancouver: Copy

DORBIDI HAMID REZA, ALIKHANI SAEID. A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;7(2 ):143-154. Available from: https://sid.ir/paper/268358/en

IEEE: Copy

HAMID REZA DORBIDI, and SAEID ALIKHANI, “A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 7, no. 2 , pp. 143–154, 2020, [Online]. Available: https://sid.ir/paper/268358/en

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