Akademik Veri Yönetim Sistemi
Moroccan Journal of Algebra and Geometry with Applications, cilt.2022, sa.2, ss.1-9, 2022 (Hakemli Dergi)
In this article, we introduce graded strongly quasi primary ideals which is an intermediate class of graded primary ideals and graded quasi primary ideals. Let G be a group with identity e, R be a G-graded commutative ring with nonzero unity 1 and P be a proper graded ideal of R. Then P is said to be a graded strongly quasi primary ideal if xy ∈ P for x,y ∈ h(R) implies either x 2 ∈ P or y n ∈ P (x n ∈ P or y 2 ∈ P ) for some n ∈ N. We give many properties of graded strongly quasi primary ideals and investigate the relations between graded strongly quasi primary ideals and other classical graded ideals such as graded primary, graded 2-prime and graded quasi primary ideals