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