POWER GRAPH OF DIRECT PRODUCT OF COMMUTATIVE RINGS

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TALEBI YAHYA; Firouzian Siamak; Nouri Jouybari Mostafa

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

POWER GRAPH OF DIRECT PRODUCT OF COMMUTATIVE RINGS

Author(s)

TALEBI YAHYA | Firouzian Siamak | Nouri Jouybari Mostafa

Keywords

POWER GRAPH

DIRECT PRODUCT

RING

Abstract

THE UNDIRECTED POWER GRAPH G(R) OF A RING R IS AN UNDIRECTED GRAPH WHOSE VERTEX SET IS R AND TWO VERTICESA, B Î R ARE ADJACENT IF AND ONLY IF A ¹ B AND AM = B OR BN = A FOR SOME POSITIVE INTEGERS M, N. IN THIS PAPER, WE SHOW THAT IF P IS A PRIME NUMBER, THEN THE POWER GRAPH OF THE DIRECT PRODUCT OF COMMUTATIVE RINGS OF ORDER PN IS THE CARTESIAN PRODUCT OF POWER GRAPHS OF RINGS.

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APA: Copy

TALEBI, YAHYA, Firouzian, Siamak, & Nouri Jouybari, Mostafa. (2016). POWER GRAPH OF DIRECT PRODUCT OF COMMUTATIVE RINGS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938761/en

Vancouver: Copy

TALEBI YAHYA, Firouzian Siamak, Nouri Jouybari Mostafa. POWER GRAPH OF DIRECT PRODUCT OF COMMUTATIVE RINGS. 2016. Available from: https://sid.ir/paper/938761/en

IEEE: Copy

YAHYA TALEBI, Siamak Firouzian, and Mostafa Nouri Jouybari, “POWER GRAPH OF DIRECT PRODUCT OF COMMUTATIVE RINGS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938761/en

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