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Finite BCK-algebras are solvable

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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 \cite{Naj}.

Abstract

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 \cite{Naj}.

참고문헌 (5)

  1. W. A. Dudek, "Unsolved problems in BCK-algebras", East Asian Math. J, 17, pp.115~128 (2001)
  2. J. Meng, "BCK-Algebras" (1994), Kyung Moon Sa Co
  3. A. Najafi, "Pseudo-commutators in BCK-algebras", Pure Math. Sci, 2, pp.29~32 (2013)
  4. A. Najafi, "Solvable BCK-algebras", Cankaya Univ. J. Sci. Engi-neering, 11, pp.19~28 (2014)
  5. S. Tanaka, "A new class of algebras", Math. Sem. Notes Kobe Univ, 3(1), pp.37~43 (1975)

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