[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b200199

GRADED UNIFORMLY pr-IDEALS

Abu-Dawwas, Rashid (Department of Mathematics Yarmouk University)
Refai, Mashhoor (President of Princess Sumaya University for Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 195-204 More about this Journal

Abstract

Let R be a G-graded commutative ring with a nonzero unity and P be a proper graded ideal of R. Then P is said to be a graded uniformly pr-ideal of R if there exists n ∈ ℕ such that whenever a, b ∈ h(R) with ab ∈ P and Ann(a) = {0}, then bn ∈ P. The smallest such n is called the order of P and is denoted by ordR(P). In this article, we study the characterizations on this new class of graded ideals, and investigate the behaviour of graded uniformly pr-ideals in graded factor rings and in direct product of graded rings.

Keywords

Graded r-ideals; graded pr-ideals; graded uniformly pr-ideals;

Citations & Related Records

Reference

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