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(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings

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arxiv 2406.14276 v1 pith:AHS6HFSQ submitted 2024-06-20 math.AC

Mahdi Anbarloei This is my paper · ORCID
classification math.AC
keywords absorbinghyperidealswillhyperringsmultiplicativenotionprimesome
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In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some results about them.

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  1. $(u,v)$-absorbing primary hyperideals in multiplicative hyperrings

    math.AC 2025-06 conditional novelty 4.0 of 10

    A new notion, (u,v)-absorbing primary hyperideals, is introduced for multiplicative hyperrings, with structural results and examples, several of which need correction.

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