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FINITE BCK-ALGEBRAS ARE SOLVABLE

Dudek, Wieslaw A.

  • Received : 2015.08.05
  • Published : 2016.04.30

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 [4].

Keywords

BCK-algebra;solvable BCK-algebra;commutative BCK-algebra

References

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  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.