Some results on PIT and GPIT theorems

Document Type : Research Paper

Author

Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 518, Rafsanjan, Iran

Abstract

In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results. 

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References

[1] M. F. Atiyah, I. G. McDonald, An introduction to commutative algebra, Addison-Wesley, Reading, MA (1969).
[2] N. S. Gopalakrishnan,Commutative algebra, New Delhi: Oxonian Press Pvt. Ltd.(1984).
[3] T. W. Hungerford, Algebra, New York: Holt, Rinehart and Winston (1974).
[4] R. Y. Sharp, Steps in commutative algebra, Cambridge: Cambridge University Press (1990).
Journal of Hyperstructures
Volume 5, Issue 1
June 2016
Pages 17-25

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