A new class of graded prime ideals
Rabia Nagehan Üregen
Department of Mathematics and Science Education, Erzincan Binali Yildirim University, Erzincan, Turkey.
Pages 89-94 | Received 24 October 2024, Accepted 30 July 2025, Published 19 July 2026
Abstract
In this paper, we introduce and investigate a new class of graded ideals in graded commutative rings, called graded weakly 2-absorbing quasi-primary ideals. We explore basic properties of these ideals and examine their relationships with existing classes of graded ideals. We also study their behavior under graded ring homomorphisms, quotient rings, localization, and idealization of graded modules. Several structural results and characterizations are presented, highlighting the flexibility and generality of this new class in the broader context of graded ideal theory.
Keywords: graded prime ideal, graded weakly prime ideal, graded 2-absorbing ideal, graded weakly 2-absorbing quasi primary ideal.
MSC numbers: 13A15, 16W50, 13A02.
Downloads: Full-text PDF