충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제31권2호
  • /
  • Pages.247-254
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  • 2018
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ON SYMMETRIC BI-MULTIPLIERS OF SUBTRACTION ALGEBRAS

  • Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
  • 투고 : 2018.01.08
  • 심사 : 2018.04.25
  • 발행 : 2018.05.15
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초록

In this paper, we introduce the notion of symmetric bi-multiplier of subtraction algebra and investigate some related properties. Also, we prove that if D is a symmetric bi-multiplier of X, then D is an isotone symmetric bi-multiplier of X.

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참고문헌

  1. J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston, 1969.
  2. K. H. Kim, A note on f-derivations of subtraction algebras, Scientiae Mathematicae Japonicae, 72 (2010), no. 2, 127-132.
  3. S. D. Lee and K. H. Kim, A note on multipliers of subtraction algebras, The Hacettepe Journal of Mathematics and Statistics, 42 (2013), no. 2, 165-171.
  4. B. M. Schein, Difference Semigroups, Communications in Algebra, 20 (1992), 2153-2169. https://doi.org/10.1080/00927879208824453
  5. Y. H. Yon and K. H. Kim, On derivations of subtraction algebras, The Hacettepe Journal of Mathematics and statistics, 41 (2012), no. 2, 157-168
  6. B. Zelinka, Subtraction Semigroups, Mathematica Bohemica, 120 (1995), 445- 447.