충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제26권1호
  • /
  • Pages.37-44
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  • 2013
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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ON SUBTRACTIVE EXTENSION OF SUBSEMIMODULES OF SEMIMODULES

  • 투고 : 2012.06.14
  • 심사 : 2013.01.11
  • 발행 : 2013.02.15
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⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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.

피인용 문헌

  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