Matrix theory over ringoids

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dc.authorwosidBorzooei, Rajab Ali/AAE-8211-2021
dc.contributor.authorRezaei, Akbar
dc.contributor.authorKim, Hee Sik
dc.contributor.authorBorzooei, Rajab Ali
dc.contributor.authorSaeid, Arsham Borumand
dc.date.accessioned2024-05-19T14:43:01Z
dc.date.available2024-05-19T14:43:01Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractWe will study the notion of right distributive ringoids over a field which are neither rings, semi-rings, semi-hyperrings nor near-rings. Matrices over ringoids are defined, and new concepts such as top-row-determinate and down-row-determinate related to 2 x 2 matrices over a ringoid are introduced. Moreover, we investigate the notions of the (strongly, (very-) weak) orthogonality of vectors over a ringoid. Beside, we discuss the notion of incident vectors and define the concept of alpha -K-sphere on a ringoid, where K is a field and investigate some of their properties. Finally, we show that in a commutative ringoid all of the vectors are strongly orthogonal.en_US
dc.identifier.doi10.2298/FIL2330275R
dc.identifier.endpage10288en_US
dc.identifier.issn0354-5180
dc.identifier.issue30en_US
dc.identifier.startpage10275en_US
dc.identifier.urihttps://doi.org10.2298/FIL2330275R
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5311
dc.identifier.volume37en_US
dc.identifier.wosWOS:001097473700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectLeft Zeroen_US
dc.subject(Right-) Distributive) Ringoiden_US
dc.subject(Linear) Groupoiden_US
dc.subject(Stronglyen_US
dc.subject(Very-) Weak) Orthogonalen_US
dc.titleMatrix theory over ringoidsen_US
dc.typeArticleen_US

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