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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

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

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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Journal Section Articles
Authors

Amir Kamal Amir This is me

Publication Date April 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 1

Cite

APA Amir, A. K. (2013). The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences, 1(1), 20-23.
AMA Amir AK. The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences. April 2013;1(1):20-23.
Chicago Amir, Amir Kamal. “The Relationship Between Some Kinds of Ideal in The Order”. New Trends in Mathematical Sciences 1, no. 1 (April 2013): 20-23.
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 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, 2013.
ISNAD Amir, Amir Kamal. “The Relationship Between Some Kinds of Ideal in The Order”. New Trends in Mathematical Sciences 1/1 (April 2013), 20-23.
JAMA 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, 2013, pp. 20-23.
Vancouver Amir AK. The Relationship Between Some Kinds of Ideal in The Order. New Trends in Mathematical Sciences. 2013;1(1):20-3.