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THE RELATION BETWEEN QUASI VALUATION AND VALUATION RING AND FILTERED RING

Year 2014, Volume: 2 Issue: 2, 141 - 144, 01.08.2014

Abstract

In this paper we show the relation between filtered ring and quasi valuation and valuation ring . We show if is a filtered ring then we can define a quasi valuation. And if is some kind of filtered ring then we can define a valuation. Then we prove some properties and relations for

References

  • F.R. Cohen , Aaron Heap , Alexandra Pettet On the Andreadakis–Johnson filtration of the automorphism group of a free group (Journal of Algebra 329 (2011) 72–91).
  • N. S. Gopalakrishnan, Commutative algebra, oxonian press,1983.
  • Algebras, Rings and Modules by Michiel Hazewinkel CWI, Amsterdam, The Netherlands Nadiya Gubareni Technical University of Czstochowa, Poland and V.V. KirichenkoKiev Taras Shevchenko University, Kiev, Ukraine KLUWER.
  • T.Y. Lam , A First Course in Noncommutative Rings,Springer-Verlag ,1991.
  • Koji Nishida On the depth of the associated graded ring of a filtration (Journal of Algebra 285 (2005) 182–195).
  • G. Puninskia, V. Puninskayab, C. Toffalorib Decidability of the theory of modules over commutative valuation domains, Annals of Pure and Applied Logic, 145 (2007), (258 - 275).
  • David E. Rush, Rees valuations and asymptotic primes of rational powers in Noetherian rings and lattices, Journal of Algebra, 308 (2007), (295 - 320).
  • Paolo Zanardo, On _-closed Manis vluation rins,Communication in algebra, 18(3), 775-788(1990).
  • Paolo Zanardo, Construction of manis vluation rins, Communication in algebra, 21(11), 4183-4194(1993).

The relation between quasi valuation and valuation ring and filtered ring

Year 2014, Volume: 2 Issue: 2, 141 - 144, 01.08.2014

Abstract

References

  • F.R. Cohen , Aaron Heap , Alexandra Pettet On the Andreadakis–Johnson filtration of the automorphism group of a free group (Journal of Algebra 329 (2011) 72–91).
  • N. S. Gopalakrishnan, Commutative algebra, oxonian press,1983.
  • Algebras, Rings and Modules by Michiel Hazewinkel CWI, Amsterdam, The Netherlands Nadiya Gubareni Technical University of Czstochowa, Poland and V.V. KirichenkoKiev Taras Shevchenko University, Kiev, Ukraine KLUWER.
  • T.Y. Lam , A First Course in Noncommutative Rings,Springer-Verlag ,1991.
  • Koji Nishida On the depth of the associated graded ring of a filtration (Journal of Algebra 285 (2005) 182–195).
  • G. Puninskia, V. Puninskayab, C. Toffalorib Decidability of the theory of modules over commutative valuation domains, Annals of Pure and Applied Logic, 145 (2007), (258 - 275).
  • David E. Rush, Rees valuations and asymptotic primes of rational powers in Noetherian rings and lattices, Journal of Algebra, 308 (2007), (295 - 320).
  • Paolo Zanardo, On _-closed Manis vluation rins,Communication in algebra, 18(3), 775-788(1990).
  • Paolo Zanardo, Construction of manis vluation rins, Communication in algebra, 21(11), 4183-4194(1993).
There are 9 citations in total.

Details

Journal Section Articles
Authors

Mohammad Hassan Anjom Shoa This is me

Publication Date August 1, 2014
Published in Issue Year 2014 Volume: 2 Issue: 2

Cite

APA Shoa, M. H. A. (2014). The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences, 2(2), 141-144.
AMA Shoa MHA. The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences. August 2014;2(2):141-144.
Chicago Shoa, Mohammad Hassan Anjom. “The Relation Between Quasi Valuation and Valuation Ring and Filtered Ring”. New Trends in Mathematical Sciences 2, no. 2 (August 2014): 141-44.
EndNote Shoa MHA (August 1, 2014) The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences 2 2 141–144.
IEEE M. H. A. Shoa, “The relation between quasi valuation and valuation ring and filtered ring”, New Trends in Mathematical Sciences, vol. 2, no. 2, pp. 141–144, 2014.
ISNAD Shoa, Mohammad Hassan Anjom. “The Relation Between Quasi Valuation and Valuation Ring and Filtered Ring”. New Trends in Mathematical Sciences 2/2 (August 2014), 141-144.
JAMA Shoa MHA. The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences. 2014;2:141–144.
MLA Shoa, Mohammad Hassan Anjom. “The Relation Between Quasi Valuation and Valuation Ring and Filtered Ring”. New Trends in Mathematical Sciences, vol. 2, no. 2, 2014, pp. 141-4.
Vancouver Shoa MHA. The relation between quasi valuation and valuation ring and filtered ring. New Trends in Mathematical Sciences. 2014;2(2):141-4.