DOI QR코드

DOI QR Code

ON SUBTRACTIVE EXTENSION OF SUBSEMIMODULES OF SEMIMODULES

  • Received : 2012.06.14
  • Accepted : 2013.01.11
  • Published : 2013.02.15

Abstract

Let R be a commutative semiring with $1_R{\neq}0_R$. Characterization of subsemimodules, prime subsemimodules and primary subsemimodules which are subtractive extensions of Q-subsemimodules in R-semimodules are investigated.

Keywords

References

  1. P. J. Allen, A fundamental theorem of homomorphism for semirings, Proc. Amer. Math. Soc. 21 (1969), 412-416.
  2. R. E. Atani, S. E. Atani, On subsemimodules of semimodules, Buletinul Acad. Sci. Republ. Moldova, ser. Math., Number 2 (63) (2010), 20-30.
  3. J. N. Chaudhari and D. R. Bonde, On Partitioning and Subtractive Subsemi-modules of Semimodules over Semirings, Kyungpook Math. J. 50 (2010), 329- 336. https://doi.org/10.5666/KMJ.2010.50.2.329
  4. J. N. Chaudhari and D. R. Bonde, weakly prime subsemimo-dules of semimodules over semirings, International J. Algebra, 5 (2011), no. 1-4, 167-174.
  5. J. N. Chaudhari and D. R. Bonde, On direct sum of partitioning subsemimod- ules of semimodules over semirings, Journal of Advanced Research in Pure Mathematics, 4 (2012), Issue. 1, 81-88. https://doi.org/10.5373/jarpm.898.041811
  6. J. S. Golan, Semiring and their applications, Kluwer Academic publisher Dordrecht, 1999.
  7. V. G. and J. N. Chaudhari, Characterization of weakly prime subtractive ideals in semirings, Bull. Inst. Math. Acad. Sinica (New Series) 3 (2008), 347-352.
  8. G. Yesilot, On prime and maximal k-subsemimodules of semimodules, Hacettepe Journal of Mathematics and Statistics, 39 (3) (2010), 305-312.
  9. G. Yesilot, K. H. Oral and U. Tekir, On prime subsemimodules of semimodules, International Journal of Algebra, 4 (2010), no. 1, 53-60.

Cited by

  1. On Exact Sequence of Semimodules over Semirings vol.2013, pp.2090-6293, 2013, https://doi.org/10.1155/2013/156485
  2. Properties of content semimodules vol.1538, pp.None, 2013, https://doi.org/10.1088/1742-6596/1538/1/012028