대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권1호
  • /
  • Pages.1-6
  • /
  • 2012
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

ANSWERS TO LEE AND PARK'S QUESTIONS

  • 투고 : 2010.07.27
  • 발행 : 2012.01.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In [K. J. Lee and C. H. Park, Some questions on fuzzifications of ideals in subtraction algebras, Commun. Korean Math. Soc. 22 (2007), no. 3, 359-363], Lee and Park posed three questions. In this paper, the affirmative answers to their questions are provided, and characterizations of fuzzy ideals are investigated.

키워드

참고문헌

  1. J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969.
  2. Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn. 65 (2007), no. 1, 129-134.
  3. Y. B. Jun, H. S. Kim, and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. 61 (2005), no. 3, 459-464.
  4. Y. B. Jun, H. S. Kim, and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. e-2004, 397-402.
  5. Y. B. Jun, Y. H. Kim, and K. A. Oh, Subtraction algebras with additional conditions, Commun. Korean Math. Soc. 22 (2007), no. 1, 1-7. https://doi.org/10.4134/CKMS.2007.22.1.001
  6. Y. B. Jun, C. H. Park, and E. H. Roh, Order systems, ideals and right fixed maps of subtraction algebras, Commun. Korean Math. Soc. 23 (2008), no. 1, 1-10. https://doi.org/10.4134/CKMS.2008.23.1.001
  7. K. J. Lee, Y. B. Jun, and Y. H. Kim, Weak forms of subtraction algebras, Bull. Korean Math. Soc. 45 (2008), no. 3, 437-444. https://doi.org/10.4134/BKMS.2008.45.3.437
  8. K. J. Lee and C. H. Park, Some questions on fuzzifications of ideals in subtraction alge-bras, Commun. Korean Math. Soc. 22 (2007), no. 3, 359-363. https://doi.org/10.4134/CKMS.2007.22.3.359
  9. B. M. Schein, Difference semigroups, Comm. Algebra 20 (1992), no. 8, 2153-2169. https://doi.org/10.1080/00927879208824453
  10. B. Zelinka, Subtraction Semigroups, Math. Bohemica 120 (1995), no. 4, 445-447.