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A Note on Ï•-Pseudo 2-Prime Ideals

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  • Rabia Nagehan Ãœregen

Abstract

This paper explores the concept of ϕ-pseudo 2-prime ideals within the framework of commutative rings. Let R be a commutative ring having a nonzero identity and ϕ:LR⟶LR∪∅ be a function, where LR is the lattice of all ideals of R. A proper ideal I of R is said to be a ϕ-pseudo 2-prime ideal if whenever ab∈I−ϕI for some a,b∈R, then a2n∈In or b2n∈In for some n∈N. In addition to giving various properties and examples related to ϕ-pseudo 2-prime ideals, the characterization of some important ring structures such as von Neumann regular rings is given in terms of our new concept.

Suggested Citation

  • Rabia Nagehan Ãœregen, 2025. "A Note on Ï•-Pseudo 2-Prime Ideals," Journal of Mathematics, Hindawi, vol. 2025, pages 1-6, October.
    • Handle: RePEc:hin:jjmath:7609086
    DOI: 10.1155/jom/7609086
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