Some Properties of Hyper Ideals in Hyper Hoop‐Algebras.
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| Title: | Some Properties of Hyper Ideals in Hyper Hoop‐Algebras. |
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| Authors: | Alemayehu, Teferi Getachew1 (AUTHOR) teferigetachew3@gmail.com, Norahun, Wondosen Zemene2 (AUTHOR), Engidaw, Derso Abeje2 (AUTHOR), Addis, Gezahagne Mulat2 (AUTHOR), Belayneh, Berhanu Bekele3 (AUTHOR), Habib, Mohammad Rezwan (AUTHOR) mohabib@wiley.com |
| Source: | Journal of Applied Mathematics. 1/16/2026, Vol. 2026, p1-9. 9p. |
| Subjects: | Homomorphisms, Hypergroups, Group theory |
| Abstract: | In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and implicative variants. Various properties, examples, and characterizations of these ideals are presented. Additionally, the paper explores quotient structures and homomorphisms in the context of hyper hoop‐algebras, and establishes connections between different classes of ideals through a series of theorems. These results extend classical ideal theory and provide new insights into the algebraic structure and logic of hyper hoop‐algebras. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 190936518 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/jama/3986328 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1 Subjects: – SubjectFull: Homomorphisms Type: general – SubjectFull: Hypergroups Type: general – SubjectFull: Group theory Type: general Titles: – TitleFull: Some Properties of Hyper Ideals in Hyper Hoop‐Algebras. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Alemayehu, Teferi Getachew – PersonEntity: Name: NameFull: Norahun, Wondosen Zemene – PersonEntity: Name: NameFull: Engidaw, Derso Abeje – PersonEntity: Name: NameFull: Addis, Gezahagne Mulat – PersonEntity: Name: NameFull: Belayneh, Berhanu Bekele – PersonEntity: Name: NameFull: Habib, Mohammad Rezwan IsPartOfRelationships: – BibEntity: Dates: – D: 16 M: 01 Text: 1/16/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1110757X Numbering: – Type: volume Value: 2026 Titles: – TitleFull: Journal of Applied Mathematics Type: main |
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