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ON THE FACTOR RINGS OF EISENSTEIN INTEGERS

Year 2013, Volume: 6 Issue: 2, 165 - 174, 18.03.2014

Abstract

In this study, we will answer the question “What can we say about the factor rings of Eisenstein integers which arise naturally when we consider the factor rings of the ring of integers which is the fundamental concept of algebra. In other words, we will characterize the structure of factor rings for the ring of Eisenstein integers.

References

  • Dresden G. and Dymacek W.M. (2005). Finding factors of factor rings over the Gaussian integers, The American Mathematical Monthly, 112(7), 602-6
  • Gallian J. A. (1990). Contemporary Abstract Algebra., Houghton Mi­ in. Misaghian M, (2009). Factor rings and their decompositionsof an imaginary extension of the ring of integers, International Mathematical Forum, 4 (42), 2075-2086.
  • Alkam O, Osba E. A., (2010). On Eisenstein integers modulo n, International Mathematical Forum, 5(22), 1075-1082. ***

EISENSTEIN TAMSAYILARI HALKASININ BÖLÜM HALKALARI ÜZERİNE

Year 2013, Volume: 6 Issue: 2, 165 - 174, 18.03.2014

Abstract

Bu çalışmada, soyut cebirin temel kavramlarından biri olan
tamsayılar halkasının bölüm halkaları düşünüldüğünde doğal olarak ortaya
çıkan “Eisenstein tamsayıları halkasının bölüm halkaları hakkında ne
söyleyebiliriz?” sorusu cevaplanacaktır. Başka bir deyişle, Eisenstein
tamsayıları halkası için bölüm halkalarının yapısı karakterize edilecektir.

References

  • Dresden G. and Dymacek W.M. (2005). Finding factors of factor rings over the Gaussian integers, The American Mathematical Monthly, 112(7), 602-6
  • Gallian J. A. (1990). Contemporary Abstract Algebra., Houghton Mi­ in. Misaghian M, (2009). Factor rings and their decompositionsof an imaginary extension of the ring of integers, International Mathematical Forum, 4 (42), 2075-2086.
  • Alkam O, Osba E. A., (2010). On Eisenstein integers modulo n, International Mathematical Forum, 5(22), 1075-1082. ***
There are 3 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Makaleler
Authors

Engin Özkan

Rukiye Öztürk

Ali Aydoğdu

Publication Date March 18, 2014
Published in Issue Year 2013 Volume: 6 Issue: 2

Cite

APA Özkan, E., Öztürk, R., & Aydoğdu, A. (2014). ON THE FACTOR RINGS OF EISENSTEIN INTEGERS. Erzincan University Journal of Science and Technology, 6(2), 165-174.