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
تعداد صفحه
3
كليدواژه
Power Graph , Direct product , Ring.
سال انتشار
1395
عنوان كنفرانس
بيست و پنجمين سمينار جبر ايران
زبان مدرك
انگليسي
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.
كشور
ايران
لينک به اين مدرک