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McCoy Halkaları ve McCoy-0 Çarpımlı Matris Halkaları

Year 2016, Volume: 6 Issue: 2, 202 - 216, 27.12.2016

Abstract

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. 

References

  • 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

Year 2016, Volume: 6 Issue: 2, 202 - 216, 27.12.2016

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 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).

References

  • 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.
There are 10 citations in total.

Details

Subjects Engineering
Journal Section Mathematics
Authors

Cihat Abdioğlu

Publication Date December 27, 2016
Submission Date February 24, 2017
Acceptance Date November 27, 2016
Published in Issue Year 2016 Volume: 6 Issue: 2

Cite

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. December 2016;6(2):202-216.
Chicago Abdioğlu, Cihat. “McCoy Rings and Matrix Rings With McCoy 0-Multiplication”. Adıyaman University Journal of Science 6, no. 2 (December 2016): 202-16.
EndNote Abdioğlu C (December 1, 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, vol. 6, no. 2, pp. 202–216, 2016.
ISNAD Abdioğlu, Cihat. “McCoy Rings and Matrix Rings With McCoy 0-Multiplication”. Adıyaman University Journal of Science 6/2 (December 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, vol. 6, no. 2, 2016, pp. 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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