대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권2호
  • /
  • Pages.261-262
  • /
  • 2016
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FINITE BCK-ALGEBRAS ARE SOLVABLE

  • Dudek, Wieslaw A. (Faculty of Pure and Applied Mathematics Wroc law University of Science and Technology)
  • 투고 : 2015.08.05
  • 발행 : 2016.04.30
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초록

We present a short and very elementary proof that each finite BCK-algebra is solvable. It is a positive answer to the question posed in [4].

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참고문헌

  1. W. A. Dudek, Unsolved problems in BCK-algebras, East Asian Math. J. 17 (2001), 115-128.
  2. J. Meng and Y. B. Jun, BCK-Algebras, Kyung Moon Sa Co. Seoul, Korea, 1994.
  3. A. Najafi, Pseudo-commutators in BCK-algebras, Pure Math. Sci. 2 (2013), 29-32. https://doi.org/10.12988/pms.2013.13004
  4. A. Najafi and A. Borumand Saied, Solvable BCK-algebras, Cankaya Univ. J. Sci. Engineering 11 (2014), 19-28.
  5. S. Tanaka, A new class of algebras, Math. Sem. Notes Kobe Univ. 3 (1975), no. 1, 37-43.