On graded strongly quasi primary ideals

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Atıf İçin Kopyala

Abdullah R., Abu-Dawwas R., Koç S., Tekir Ü., Yıldız E.

Moroccan Journal of Algebra and Geometry with Applications, cilt.1, sa.2, ss.409-417, 2022 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 1 Sayı: 2
• Basım Tarihi: 2022
• Dergi Adı: Moroccan Journal of Algebra and Geometry with Applications
• Sayfa Sayıları: ss.409-417
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.