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A Note on Essential Subsemimodules

Year 2013, Volume: 1 Issue: 2, 18 - 21, 01.08.2013

Kishor Pawar

Abstract

Let be an -semimodule and non-zero subsemimodule of . We say that is an essential subsemimodule of , if ∩ ≠ (0) for every nonzero subsemimodule of . In this paper we study some useful results on essential subsemimodules and singular semimodule of semiring

Keywords

Semirings Ideals Semimodules Essential subsemimodule Singular subsemimodule etc

References

  • Dutta, T. K. , & Das, M.L. (2007). On Strongly Prime Semiring, Bull. Malays Math. Sci. Soc, 30 (2), 135141.
  • Golan, J. S. (1992). Theory of Semirings with Applications in Mathematics and Theoretical Computer Science, Pitman Monogr. Surveys Pure
  • Appl. Math., Longman Scientific and Technical Harlow. Pawar , K. F., & Deore, R. P. (2012). On Essential Ideal and Radical Class. Int. J. of Pure and Appl. Math. Sci., Vol. 5 (1), 1-5.

Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India

Year 2013, Volume: 1 Issue: 2, 18 - 21, 01.08.2013

Kishor Pawar

Abstract

References

  • Dutta, T. K. , & Das, M.L. (2007). On Strongly Prime Semiring, Bull. Malays Math. Sci. Soc, 30 (2), 135141.
  • Golan, J. S. (1992). Theory of Semirings with Applications in Mathematics and Theoretical Computer Science, Pitman Monogr. Surveys Pure
  • Appl. Math., Longman Scientific and Technical Harlow. Pawar , K. F., & Deore, R. P. (2012). On Essential Ideal and Radical Class. Int. J. of Pure and Appl. Math. Sci., Vol. 5 (1), 1-5.
There are 3 citations in total.

Details

Journal Section Articles
Authors

Kishor Pawar This is me

Publication Date August 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 2

Cite

APA Pawar, K. (2013). Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India. New Trends in Mathematical Sciences, 1(2), 18-21.
AMA Pawar K. Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India. New Trends in Mathematical Sciences. August 2013;1(2):18-21.
Chicago Pawar, Kishor. “Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India”. New Trends in Mathematical Sciences 1, no. 2 (August 2013): 18-21.
EndNote Pawar K (August 1, 2013) Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India. New Trends in Mathematical Sciences 1 2 18–21.
IEEE K. Pawar, “Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India”, New Trends in Mathematical Sciences, vol. 1, no. 2, pp. 18–21, 2013.
ISNAD Pawar, Kishor. “Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India”. New Trends in Mathematical Sciences 1/2 (August 2013), 18-21.
JAMA Pawar K. Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India. New Trends in Mathematical Sciences. 2013;1:18–21.
MLA Pawar, Kishor. “Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India”. New Trends in Mathematical Sciences, vol. 1, no. 2, 2013, pp. 18-21.
Vancouver Pawar K. Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon – 425 001 (M.S.) India. New Trends in Mathematical Sciences. 2013;1(2):18-21.