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Journals / Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi / 2017 / Cilt: 38 - Sayı: 2

Notes on Prime Near-Rings with Multiplicative Derivation

Çarpımsal Türevli Asal Yakın Halkalar Üzerine Notlar

Oznur GOLBASI
Zeliha BEDIR
Pages
355–363
Publication Date
2022-10-11
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

N is called a nonzero multiplicative derivation ifd(xy) = xd(y) ? d(x)yholds for allx, y?N.In the present paper, we shall extend some well knownresults concerning commutativity of prime rings for nonzero multiplicative derivations of a left prime near-ringN.

📌 3 Key Takeaways

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Objective & Hypothesis:LetNbe a left near ring.
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Key Findings & Data:LetNbe a left near ring.
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Conclusion & Impact:N is called a nonzero multiplicative derivation ifd(xy) = xd(y) ? d(x)yholds for allx, y?N.In the present paper, we shall extend some well knownresults concerning commutativity of prime rings for nonzero multiplicative derivations of a left prime near-ringN.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

LetNbe a left near ring. A mapd : N ? N is called a nonzero multiplicative derivation ifd(xy) = xd(y) ? d(x)yholds for allx, y?N.In the present paper, we shall extend some well knownresults concerning commutativity of prime rings for nonzero multiplicative derivations of a left prime near-ringN.

Özet

Nbir sol yakın halka olsun. d:koşulunu sağlıyorsa ye bir çarpımsal türev denir. Bu makalede, asal halkalarda iyi bilinen bazı komütatiflik koşulları, çarpımsal türevli sol asal yakın halkalar için genelleştirilecektir.

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Cite This Article

GOLBASI, O., BEDIR, Z. (2022). Notes on Prime Near-Rings with Multiplicative Derivation. Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi, Cilt: 38 - Sayı: 2, 355–363. https://ajindex.com/articles/480381

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References (1)

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