On graded pseudo 2-prime ideals

Abstract

In this paper, we study graded pseudo 2-prime ideals of graded commutative rings with nonzero identities. Let G be a commutative additive monoid with an identity element 0, and (Formula presented) be a g?G commutative graded ring with a nonzero identity element. A proper graded ideal I of R is said to be a graded pseudo 2-prime ideal if whenever ab ? I for some homogeneous elements a, b ? R, then a2n ? In or b2n ? In for some n ? N. Besides giving many properties of graded pseudo 2-prime ideals, we characterize graded almost valuation domains in terms of our new concept. © (2024), (Universidad Catolica del Norte). All rights reserved.