Relationship Between a Homoderivation and a Semi-Derivation
| dc.authorid | Türkmen, Selin / 0000-0002-6646-6079 | |
| dc.contributor.author | Türkmen, Selin | |
| dc.date.accessioned | 2025-01-27T19:37:15Z | |
| dc.date.available | 2025-01-27T19:37:15Z | |
| dc.date.issued | 2024 | |
| dc.department | Çanakkale Onsekiz Mart Üniversitesi | |
| dc.description.abstract | Let ℘ be a ring. It is shown that if an additive mapping ϑ is a zero-power valued on ℘, then α: ℘→ ℘ such that α=ϑ+1 is a bijective mapping of ℘. The main aim of this study is to prove that ϑ is a homoderivation of ℘ if and only if ϑ: ℘→℘ such that ϑ= α−1 is a semi-derivation associated with α, where α: ℘→℘ is a homomorphism of ℘. Moreover, if ϑ is a zero-power valued homoderivation on ℘, then ϑ is a semi-derivation associated with α, where α: ℘→℘ is an automorphism of ℘ such that α= ϑ+1. | |
| dc.identifier.doi | 10.53570/jnt.1467690 | |
| dc.identifier.endpage | 38 | |
| dc.identifier.issn | 2149-1402 | |
| dc.identifier.issue | 47 | |
| dc.identifier.startpage | 28 | |
| dc.identifier.trdizinid | 1246393 | |
| dc.identifier.uri | https://doi.org/10.53570/jnt.1467690 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1246393 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12428/17172 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Journal of New Theory | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_TRD_20250125 | |
| dc.subject | Ring | |
| dc.subject | semi-derivation | |
| dc.subject | homoderivation | |
| dc.title | Relationship Between a Homoderivation and a Semi-Derivation | |
| dc.type | Article |
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