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A Note on Essential Subsemimodules

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

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

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

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). A Note on Essential Subsemimodules. New Trends in Mathematical Sciences, 1(2), 18-21.
AMA Pawar K. A Note on Essential Subsemimodules. New Trends in Mathematical Sciences. August 2013;1(2):18-21.
Chicago Pawar, Kishor. “A Note on Essential Subsemimodules”. New Trends in Mathematical Sciences 1, no. 2 (August 2013): 18-21.
EndNote Pawar K (August 1, 2013) A Note on Essential Subsemimodules. New Trends in Mathematical Sciences 1 2 18–21.
IEEE K. Pawar, “A Note on Essential Subsemimodules”, New Trends in Mathematical Sciences, vol. 1, no. 2, pp. 18–21, 2013.
ISNAD Pawar, Kishor. “A Note on Essential Subsemimodules”. New Trends in Mathematical Sciences 1/2 (August 2013), 18-21.
JAMA Pawar K. A Note on Essential Subsemimodules. New Trends in Mathematical Sciences. 2013;1:18–21.
MLA Pawar, Kishor. “A Note on Essential Subsemimodules”. New Trends in Mathematical Sciences, vol. 1, no. 2, 2013, pp. 18-21.
Vancouver Pawar K. A Note on Essential Subsemimodules. New Trends in Mathematical Sciences. 2013;1(2):18-21.