The Relationship Between Some Kinds of Ideal in The Order

Yıl 2013, Cilt: 1 Sayı: 1, 20 - 23, 01.04.2013

Amir Kamal Amir

https://izlik.org/JA69FN69GA

Öz

The Relationship Between Some Kinds of Ideal in The Order

https://izlik.org/JA69FN69GA

Öz

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

Anahtar Kelimeler

ideal , invertible , order , reflexive , quotient ring

Kaynakça

• 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.