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On 2-nil Primary Ideals of Commutative Rings
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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 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 relationship 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 concerning images and inverse images of homomorphism, quotients, localization, products, and idealizations.
Title: On 2-nil Primary Ideals of Commutative Rings
Description:
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 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 relationship 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 concerning images and inverse images of homomorphism, quotients, localization, products, and idealizations.
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