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The Relationship Between Some Kinds of Ideal in The Order

Year 2013, Volume: 1 Issue: 1, 20 - 23, 01.04.2013
https://izlik.org/JA69FN69GA

Abstract

References

  • P. Cohn, Free Ideal Rings and Localization in General Rings, Cambridge University Press, Cambridge, 2006.
  • K.R. Goodearl dan R.B. Warfield, An Introduction to Noncommutative Noetherian Rings, Cambridge University Press, Cambridge, 1989.
  • H. Marubayashi, H. Miyamoto, dan A. Ueda, Non-Commutative Valuation Rings and Semi-Hereditary Orders, Kluwer Academic Publishers, Dordrecht, 1997.
  • J.C. McConnell dan J.C. Robson, Noncommutative Noetherian Rings. John Wiley and Sons, Inc., New York, 1987.
  • O. Zariski dan P. Samuel, Commutative Algebra, D. Van Nostrand Company, Inc. Princeton, 1958.

The Relationship Between Some Kinds of Ideal in The Order

Year 2013, Volume: 1 Issue: 1, 20 - 23, 01.04.2013
https://izlik.org/JA69FN69GA

Abstract

This work will discuss one of the structures in Mathematics Algebra, namely Order. Simply put, order is a ring that certain criteria. For R is a ring which is of order, defining the R-ideal is difference with defining ideal (regular) in R as it is known in general. An R-ideal in R is certainly an ideal (regular) in R. However, in general, an ideal (regular) in R is not an R-ideal in R. However, in certain circumstances, the ideal (regular) in R is also an R-ideal. In addition to R-ideal, in order also known notion some other ideal. In this paper will be discussed the relationship between several types of ideal in the order

References

  • P. Cohn, Free Ideal Rings and Localization in General Rings, Cambridge University Press, Cambridge, 2006.
  • K.R. Goodearl dan R.B. Warfield, An Introduction to Noncommutative Noetherian Rings, Cambridge University Press, Cambridge, 1989.
  • H. Marubayashi, H. Miyamoto, dan A. Ueda, Non-Commutative Valuation Rings and Semi-Hereditary Orders, Kluwer Academic Publishers, Dordrecht, 1997.
  • J.C. McConnell dan J.C. Robson, Noncommutative Noetherian Rings. John Wiley and Sons, Inc., New York, 1987.
  • O. Zariski dan P. Samuel, Commutative Algebra, D. Van Nostrand Company, Inc. Princeton, 1958.
There are 5 citations in total.

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Authors

Amir Kamal Amir This is me

Publication Date April 1, 2013
IZ https://izlik.org/JA69FN69GA
Published in Issue Year 2013 Volume: 1 Issue: 1

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APA Amir, A. K. (2013). The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences, 1(1), 20-23. https://izlik.org/JA69FN69GA
AMA 1.Amir AK. The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences. 2013;1(1):20-23. https://izlik.org/JA69FN69GA
Chicago Amir, Amir Kamal. 2013. “The Relationship Between Some Kinds of Ideal in The Order”. New Trends in Mathematical Sciences 1 (1): 20-23. https://izlik.org/JA69FN69GA.
EndNote Amir AK (April 1, 2013) The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences 1 1 20–23.
IEEE [1]A. K. Amir, “The Relationship Between Some Kinds of Ideal in The Order”, New Trends in Mathematical Sciences, vol. 1, no. 1, pp. 20–23, Apr. 2013, [Online]. Available: https://izlik.org/JA69FN69GA
ISNAD Amir, Amir Kamal. “The Relationship Between Some Kinds of Ideal in The Order”. New Trends in Mathematical Sciences 1/1 (April 1, 2013): 20-23. https://izlik.org/JA69FN69GA.
JAMA 1.Amir AK. The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences. 2013;1:20–23.
MLA Amir, Amir Kamal. “The Relationship Between Some Kinds of Ideal in The Order”. New Trends in Mathematical Sciences, vol. 1, no. 1, Apr. 2013, pp. 20-23, https://izlik.org/JA69FN69GA.
Vancouver 1.Amir Kamal Amir. The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences [Internet]. 2013 Apr. 1;1(1):20-3. Available from: https://izlik.org/JA69FN69GA