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Journals / International Electronic Journal of Algebra / 2009 / Cilt: 6 - Sayı: 6

DIFFERENTIAL POLYNOMIALS OVER BAER RINGS

Ebrahim HASHEMİ
Pages
38–45
Publication Date
2009-12-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The nearring of differential has substitution for its ”multiplication” operation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let R be a ring with unity and δ a derivation on R.
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Key Findings & Data:In this paper we extend a result of Armendariz on the Baer condition in a polynomial ring to a Baer condition in a nearring of differential polynomial.
💡
Conclusion & Impact:The nearring of differential has substitution for its ”multiplication” operation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:annihilator conditions · nearrings · derivation polynomial rings

Abstract

Let R be a ring with unity and δ a derivation on R. In this paper we extend a result of Armendariz on the Baer condition in a polynomial ring to a Baer condition in a nearring of differential polynomial. The nearring of differential has substitution for its ”multiplication” operation.

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Cite This Article

HASHEMİ, E. (2009). DIFFERENTIAL POLYNOMIALS OVER BAER RINGS. International Electronic Journal of Algebra, Cilt: 6 - Sayı: 6, 38–45. https://ajindex.com/articles/832541

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