On Semi-Essential Subsemimodules in Multiplication Semimodules
DOI:
https://doi.org/10.24297/jam.v12i7.5500Keywords:
Semiring, semimodule, essential subsemimodule, semi-essential subsemimodule.Abstract
The Semi essential subsemimodule was defined in [4]. In this paper we generalize some results of semi essential submodule to semi essential subsemimodules in multiplication semimodule.Downloads
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References
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2. Gursel Yesilot and Kursat Hakan Oral, On Prime Subsemimodules of Semimodules, International Journal of Algebra, Vol. 4, no. 1, 53 – 60, (2010).
3. J.S. Golan, Semirings and their Applications, Kluwer Academic Publishers, (1992).
4. K. F. Pawar and R. P. Deore, On Essential Ideal and Radical Class, Int. J. of Pure and Appl. Math. Sci. Vol. 5(1), 1-5, (2012).
5. Kishor Pawar, A Note on Essential Subsemimodule, New Trends in Mathematical Sciences, Vol. 1(2), 18-21, (2013).
6. Kishor Pawar and Pritam Gujarathi, On Semi-Essential Subsemimodules, Journal of Advances in Mathematics Vol. 12, No. 1, pp. 5805-5807, (2015).
7. Kishor Pawar, On Weak Essential Ideals of Semiring, Communications in Mathematics and Applications, Vol. 6(1), 17-20, (2015).
8. S. Ebrahimi Atani and M. Shajari Kohan, A Note on _nitely generated multiplication semimodules over commutative semirings, International Journal of Algebra, Vol. 4, no. 8, 389-396, (2010).
9. S. Ebrahimi Atani and S. Khojasteh G. Ghaleh, On Multiplication Semimodules, International Mathematical Forum, 1, no. 24, 1175-1180, (2006).
10. Dutta, T.K. and Das, M.L. On Strongly Prime Semiring, Bull. Malays Math. Sci. Soc, 30(2), 135-141, (2007).
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Published
2016-08-18
How to Cite
Gujarathi, P., & Pawar, K. (2016). On Semi-Essential Subsemimodules in Multiplication Semimodules. JOURNAL OF ADVANCES IN MATHEMATICS, 12(7), 6449–6451. https://doi.org/10.24297/jam.v12i7.5500
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