On 2-nil Primary Ideals of Commutative Rings
Abstract
Abstract The present article addresses the concept of 2-nil primary ideals in commutative rings, expanding the comprehension of ideal categories such as 2-nil, 2-absorbing ideals, and quasi-primary ideals. The study explores the characteristics and connections of 2-nil primary ideals, offering a comprehensive framework for understanding their significance in ring theory. The paper presents examples and arguments that illustrate the relationships between 2-nil primary ideals and other well-known classes of ideals, such as prime, primary, and n -ideals, while highlighting their differences. Furthermore, we investigate how the 2-nil primary ideal behaves under homomorphisms, quotients, localization, products, and idealizations.
Fields of Study & Subjects
Rings
Modules
and Algebras
Advanced Topics in Algebra
Advanced Algebra and Logic
Publication details
- Journal / source
- Analele Universităţii "Ovidius" Constanţa. Seria Matematică
- Publisher
- Walter de Gruyter GmbH
- Volume
- 34
- Issue
- 1
- Pages
- 195–208
- Publication date
- 1 May 2026
- Language
- EN