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Mathematics
Article . 2026 . Peer-reviewed
License: CC BY
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https://doi.org/10.20944/prepr...
Article . 2026 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Preprints.org
Preprint . 2026
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On S-2-Prime Hyperideals of Commutative Hyperrings

Authors: Elif Tuysuz; Gürsel Yeşilot; Serkan Onar; Sanem Yavuz;

On S-2-Prime Hyperideals of Commutative Hyperrings

Abstract

This paper introduces the notion of S-2-prime hyperideals, providing a unifying generalization of 2-prime and S-prime hyperideals in multiplicative hyperrings. The key algebraic properties of these hyperideals are explored, and their connections with other classes of hyperideals are investigated. Furthermore, the unique aspects that differentiate S-2-prime hyperideals are emphasized, illustrating their role in expanding the theoretical framework of hyperideal structures. We examine the behavior of these hyperideals under hyperring homomorphisms, extensions, and standard algebraic operations, demonstrating that many established properties of prime, 2-prime, and S-prime hyperideals extend naturally to the S-2-prime setting. Illustrative examples are provided to highlight key distinctions and to offer structural insights. Overall, this work enhances the theoretical understanding of hyperideals in multiplicative hyperrings and establishes a foundational framework for future research.

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Keywords

Algebra and Number Theory, Computer Science and Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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