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Valuation rings and modules

Year 2015, Volume: 3 Issue: 2, 168 - 171, 19.01.2015

Mohammad Hossein Hosseini

Abstract

The purpose of this paper is to compare and investigate relations between valuation rings and valuation modules

Keywords

Multiplication module valuation ring valuation module

References

  • M.M. Ali, Invertibility of multiplication modules II. New Zealand J. Math. , 39 (2009), 45- 64.
  • Z. Abd El-bast and P.F. Smith, Multiplication modules, Comm. Algebra, 16(4) (1988), 755-779.
  • J. Moghaderi and R. Nekooei, Valuation, discrete valuation and Dedekind modules, Int. Electron. J. Algebra, 8 (2010), 18-29.
  • P.F. Smith, Some remarks on multiplication modules, Arch. Math. 50 (1988), 223-235.
  • M.D. Larsen and P.J. McCarthy, Multiplicative theory of ideals, Academic Press, London,(1971). pp 105-107.
  • N. S. Gopalakrishnan, Commutative Algebra, New Delhi, Oxanian Press (1983). pp 106-111.

Valuation rings and modules M. H. Hosseini and M. Zolfaghari

Year 2015, Volume: 3 Issue: 2, 168 - 171, 19.01.2015

Mohammad Hossein Hosseini

Abstract

References

  • M.M. Ali, Invertibility of multiplication modules II. New Zealand J. Math. , 39 (2009), 45- 64.
  • Z. Abd El-bast and P.F. Smith, Multiplication modules, Comm. Algebra, 16(4) (1988), 755-779.
  • J. Moghaderi and R. Nekooei, Valuation, discrete valuation and Dedekind modules, Int. Electron. J. Algebra, 8 (2010), 18-29.
  • P.F. Smith, Some remarks on multiplication modules, Arch. Math. 50 (1988), 223-235.
  • M.D. Larsen and P.J. McCarthy, Multiplicative theory of ideals, Academic Press, London,(1971). pp 105-107.
  • N. S. Gopalakrishnan, Commutative Algebra, New Delhi, Oxanian Press (1983). pp 106-111.
There are 6 citations in total.

Details

Journal Section Articles
Authors

Mohammad Hossein Hosseini This is me

Publication Date January 19, 2015
Published in Issue Year 2015 Volume: 3 Issue: 2

Cite

APA Hosseini, M. H. (2015). Valuation rings and modules. New Trends in Mathematical Sciences, 3(2), 168-171.
AMA Hosseini MH. Valuation rings and modules. New Trends in Mathematical Sciences. January 2015;3(2):168-171.
Chicago Hosseini, Mohammad Hossein. “Valuation Rings and Modules”. New Trends in Mathematical Sciences 3, no. 2 (January 2015): 168-71.
EndNote Hosseini MH (January 1, 2015) Valuation rings and modules. New Trends in Mathematical Sciences 3 2 168–171.
IEEE M. H. Hosseini, “Valuation rings and modules”, New Trends in Mathematical Sciences, vol. 3, no. 2, pp. 168–171, 2015.
ISNAD Hosseini, Mohammad Hossein. “Valuation Rings and Modules”. New Trends in Mathematical Sciences 3/2 (January 2015), 168-171.
JAMA Hosseini MH. Valuation rings and modules. New Trends in Mathematical Sciences. 2015;3:168–171.
MLA Hosseini, Mohammad Hossein. “Valuation Rings and Modules”. New Trends in Mathematical Sciences, vol. 3, no. 2, 2015, pp. 168-71.
Vancouver Hosseini MH. Valuation rings and modules. New Trends in Mathematical Sciences. 2015;3(2):168-71.