THERMAL SCIENCE

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Ozel Elif Ay

,

Gursel Yesilot

A NOTE ON WEAKLY PRIME HYPERIDEALS AND (1, N) HYPERIDEALS ON MULTIPLICATIVE HYPERRINGS

ABSTRACT
In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings. Then we investigate of their properties and give some examples. Hyperstructures are very important topic because it satisfy to study multidisiplinary. Especially in chemistry, coding theory, geometry, artificial intelligence, etc.
KEYWORDS
multiplicative hyperrings, n-hyperideal, (1, n) hyperideal, weakly hyperideal
PAPER SUBMITTED: 2022-08-12
PAPER REVISED: 2022-09-10
PAPER ACCEPTED: 2022-09-25
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2657A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [657 - 663]
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A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence