Hyper ideals in Hyper hoop-algebra

Hyper ideals in Hyper hoop-algebra | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Hyper ideals in Hyper hoop-algebra Teferi Getachew Alemayehu, Wondosen Zemene Norahun, Derso Abeje Engidaw, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3867712/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this paper, we introduce (strong) hyper ideals in hyper hoops and investigate some basic properties. Also, we study the quotient structure that are made by absorptive strong hyper ideal. More over, we study (strong) hyper implicative ideals and some basic properties. MSC Classification: 03G25, 20N20, 14L17, 97H50 Hoop-algebra hyper hoop-algebra (strong) hyper ideal (strong) hyper implicative ideal Full Text Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3867712","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":271239276,"identity":"c859c3bd-4b4d-4974-9e0b-95a838f7c7ba","order_by":0,"name":"Teferi Getachew Alemayehu","email":"data:image/png;base64,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","orcid":"https://orcid.org/0000-0001-9832-9522","institution":"Debre Berhan University","correspondingAuthor":true,"prefix":"","firstName":"Teferi","middleName":"Getachew","lastName":"Alemayehu","suffix":""},{"id":271239277,"identity":"a64df38f-4885-4b64-8fd6-d656181db142","order_by":1,"name":"Wondosen Zemene Norahun","email":"","orcid":"","institution":"University of Gondar","correspondingAuthor":false,"prefix":"","firstName":"Wondosen","middleName":"Zemene","lastName":"Norahun","suffix":""},{"id":271239278,"identity":"b9ec33f8-a854-44c7-92c4-09441b9237e8","order_by":2,"name":"Derso Abeje Engidaw","email":"","orcid":"","institution":"University of Gondar","correspondingAuthor":false,"prefix":"","firstName":"Derso","middleName":"Abeje","lastName":"Engidaw","suffix":""},{"id":271239279,"identity":"bf58cf4d-a0de-4a5c-ada4-892131a4e9ce","order_by":3,"name":"Gezahagne Mulate Addis","email":"","orcid":"","institution":"University of Gondar","correspondingAuthor":false,"prefix":"","firstName":"Gezahagne","middleName":"Mulate","lastName":"Addis","suffix":""},{"id":271239280,"identity":"f558ec12-62f4-481b-a571-f790f56fdb60","order_by":4,"name":"Berhanu Bekele Belayneh","email":"","orcid":"","institution":"Addis Ababa University","correspondingAuthor":false,"prefix":"","firstName":"Berhanu","middleName":"Bekele","lastName":"Belayneh","suffix":""}],"badges":[],"createdAt":"2024-01-15 21:05:00","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3867712/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3867712/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55885098,"identity":"3be399ad-0d8f-48a3-af5d-9e5954ba3acd","added_by":"auto","created_at":"2024-05-05 22:48:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":287395,"visible":true,"origin":"","legend":"","description":"","filename":"hyperidealsinHyperhoopalgebras.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3867712/v1_covered_20af4737-1b77-42ea-807e-bd173791652c.pdf"}],"financialInterests":"","formattedTitle":"Hyper ideals in Hyper hoop-algebra","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Hoop-algebra, hyper hoop-algebra, (strong) hyper ideal, (strong) hyper implicative ideal","lastPublishedDoi":"10.21203/rs.3.rs-3867712/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3867712/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this paper, we introduce (strong) hyper ideals in hyper hoops and investigate some basic properties. 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