Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2016 / Cilt: 6 - Sayı: 2

McCoy Halkaları ve McCoy-0 Çarpımlı Matris Halkaları

McCoy Rings and Matrix Rings with McCoy 0-Multiplication

Pages
202–216
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

One objective is to extend the various known results to this new extension from the rings such as ), Hurwitz extension

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we consider a construction of subrings with McCoy 0- multiplication of matrix rings of McCoy rings which is a unifed generalization of the ring ), where .
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Key Findings & Data:In this study, we consider a construction of subrings with McCoy 0- multiplication of matrix rings of McCoy rings which is a unifed generalization of the ring ), where .
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Conclusion & Impact:One objective is to extend the various known results to this new extension from the rings such as ), Hurwitz extension
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we consider a construction of subrings with McCoy 0- multiplication of matrix rings of McCoy rings which is a unifed generalization of the ring ), where . One objective is to extend the various known results to this new extension from the rings such as ), Hurwitz extension

Özet

Bu çalışmada, için ), halkasının bir genellemesi olan McCoy halkalarının matris halkalarının McCoy 0-Çarpımlı alt halkalarını ele aldık. Bu doğrultuda, ), Hurwitz genişlemeleri gibi halkalardaki bilinen bazı sonuçları bu yeni genişlemeye aktarmayı amaçladık

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Cite This Article

ABDİOĞLU, C. (2022). McCoy Halkaları ve McCoy-0 Çarpımlı Matris Halkaları. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 6 - Sayı: 2, 202–216. https://ajindex.com/articles/428519

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References (13)

  1. Anderson, D. D., Camillo, V., Armendariz rings and gaussian rings, Comm. Algebra, 26(7), 2265-2272, 1998
  2. Armendariz, E. P., A note on extension of baer and p.p.-rings, J. Aust. Math. Soc., 18, 470-473, 1974. 216 [3] Başer, M., Koşan, M. T., On quasi-Armendariz modules, Taiwanese J. Math., 12(3), 573-582, 2008
  3. Keigher, W. F., On the ring of Hurwitz series, Comm. Algebra, 25(6), 1845- 1859, 1997
  4. Kim, N. K., Lee, Y., Armendariz rings and reduced rings, J. Algebra, 223, 447-488, 2000
  5. Koşan, M. T., Extensions of rings having McCoy condition, Canad. Math. Bull., 52(2), 267-272, 2009
  6. Krempa, J., Some examples of reduced rings, Algebra Colloq., 3(4), 289-300, 1996
  7. Lee, T. K., Zhou, Y., Armendariz rings and reduced rings, Comm. Algebra, 32(6), 2287-2299, 2004
  8. Liu, Z., Zhao, R., On weak Armendariz rings, Comm. Algebra, 34, 2607-2616, 2006
  9. McCoy, N. H., Remarks on divisors of zero, Amer. Math. Mon., 49, 286-295, 1942
  10. Nielsen, P. P., Semicommutativity and McCoy condition, J. Algebra, 298, 134-141, 2006
  11. Nielsen, P. P., Camillo, V., McCoy rings and zero divisors, J. Pure Appl. Algebra, 212, 599-615, 2008
  12. Wang, W., Puczylowski, E. R., Li, L., On Armendariz rings and matrix rings with simple -multiplication, Comm. Algebra, 36, 1514-1519, 2008
  13. Wisbauer, R., Foundations of Module and Ring Theory, Reading, MA, Gordon and Breach, 1991.