شماره ركورد كنفرانس :
3934
عنوان مقاله :
Power Graph of Direct Product of Commutative Rings
پديدآورندگان :
Talebi Yahya talebi@umz.ac.ir University of Mazandaran; , Firouzian Siamak siamfirouzian@pnu.ac.ir Payame Noor University; , Nouri Jouybari Mostafa njoybari@pnu.ac.ir Payame Noor University;m
كليدواژه :
Power Graph , Direct product , Ring.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
The undirected power graph G(R) of a ring R is an undirected graph whose vertex set is R and two
vertices a; b 2 R are adjacent if and only if a , 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.
