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McCoy Halkaları ve McCoy-0 Çarpımlı Matris Halkaları

Yıl 2016, Cilt: 6 Sayı: 2, 202 - 216, 27.12.2016

Öz

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

Kaynakça

  • Anderson, D. D., Camillo, V., Armendariz rings and gaussian rings, Comm. Algebra, 26(7), 2265-2272, 1998.
  • Armendariz, E. P., A note on extension of baer and p.p.-rings, J. Aust. Math. Soc., 18, 470-473, 1974.
  • Başer, M., Koşan, M. T., On quasi-Armendariz modules, Taiwanese J. Math., 12(3), 573-582, 2008.
  • Keigher, W. F., On the ring of Hurwitz series, Comm. Algebra, 25(6), 1845- 1859, 1997.
  • Kim, N. K., Lee, Y., Armendariz rings and reduced rings, J. Algebra, 223, 447-488, 2000.
  • Koşan, M. T., Extensions of rings having McCoy condition, Canad. Math. Bull., 52(2), 267-272, 2009.
  • Krempa, J., Some examples of reduced rings, Algebra Colloq., 3(4), 289-300, 1996.
  • Lee, T. K., Zhou, Y., Armendariz rings and reduced rings, Comm. Algebra, 32(6), 2287-2299, 2004.
  • Liu, Z., Zhao, R., On weak Armendariz rings, Comm. Algebra, 34, 2607-2616, 2006.
  • McCoy, N. H., Remarks on divisors of zero, Amer. Math. Mon., 49, 286-295, 1942.

McCoy Rings and Matrix Rings with McCoy 0-Multiplication

Yıl 2016, Cilt: 6 Sayı: 2, 202 - 216, 27.12.2016

Öz

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 n bigger and equals than 0 . One objective is to extend the various known results to
this new extension from the rings such as ), Hurwitz extension H(R).

Kaynakça

  • Anderson, D. D., Camillo, V., Armendariz rings and gaussian rings, Comm. Algebra, 26(7), 2265-2272, 1998.
  • Armendariz, E. P., A note on extension of baer and p.p.-rings, J. Aust. Math. Soc., 18, 470-473, 1974.
  • Başer, M., Koşan, M. T., On quasi-Armendariz modules, Taiwanese J. Math., 12(3), 573-582, 2008.
  • Keigher, W. F., On the ring of Hurwitz series, Comm. Algebra, 25(6), 1845- 1859, 1997.
  • Kim, N. K., Lee, Y., Armendariz rings and reduced rings, J. Algebra, 223, 447-488, 2000.
  • Koşan, M. T., Extensions of rings having McCoy condition, Canad. Math. Bull., 52(2), 267-272, 2009.
  • Krempa, J., Some examples of reduced rings, Algebra Colloq., 3(4), 289-300, 1996.
  • Lee, T. K., Zhou, Y., Armendariz rings and reduced rings, Comm. Algebra, 32(6), 2287-2299, 2004.
  • Liu, Z., Zhao, R., On weak Armendariz rings, Comm. Algebra, 34, 2607-2616, 2006.
  • McCoy, N. H., Remarks on divisors of zero, Amer. Math. Mon., 49, 286-295, 1942.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Matematik
Yazarlar

Cihat Abdioğlu

Yayımlanma Tarihi 27 Aralık 2016
Gönderilme Tarihi 24 Şubat 2017
Kabul Tarihi 27 Kasım 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 6 Sayı: 2

Kaynak Göster

APA Abdioğlu, C. (2016). McCoy Rings and Matrix Rings with McCoy 0-Multiplication. Adıyaman University Journal of Science, 6(2), 202-216.
AMA Abdioğlu C. McCoy Rings and Matrix Rings with McCoy 0-Multiplication. ADYU J SCI. Aralık 2016;6(2):202-216.
Chicago Abdioğlu, Cihat. “McCoy Rings and Matrix Rings With McCoy 0-Multiplication”. Adıyaman University Journal of Science 6, sy. 2 (Aralık 2016): 202-16.
EndNote Abdioğlu C (01 Aralık 2016) McCoy Rings and Matrix Rings with McCoy 0-Multiplication. Adıyaman University Journal of Science 6 2 202–216.
IEEE C. Abdioğlu, “McCoy Rings and Matrix Rings with McCoy 0-Multiplication”, ADYU J SCI, c. 6, sy. 2, ss. 202–216, 2016.
ISNAD Abdioğlu, Cihat. “McCoy Rings and Matrix Rings With McCoy 0-Multiplication”. Adıyaman University Journal of Science 6/2 (Aralık 2016), 202-216.
JAMA Abdioğlu C. McCoy Rings and Matrix Rings with McCoy 0-Multiplication. ADYU J SCI. 2016;6:202–216.
MLA Abdioğlu, Cihat. “McCoy Rings and Matrix Rings With McCoy 0-Multiplication”. Adıyaman University Journal of Science, c. 6, sy. 2, 2016, ss. 202-16.
Vancouver Abdioğlu C. McCoy Rings and Matrix Rings with McCoy 0-Multiplication. ADYU J SCI. 2016;6(2):202-16.

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