Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON A CLOSED DEDUCTIVE SYSTEM OF A CS-ALGEBRA

  • Received : 2013.10.28
  • Accepted : 2014.01.06
  • Published : 2014.02.15
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Abstract

It is known that the class of CI-algebras is a generalization of the class of BE-algebras [5]. Recently, K. H. Kim introduced the notion of a CS-algebra [4]. In this paper we discuss a closed deductive system of a CS-algebra, and we find some fundamental properties. Moreover, we study a CS-algebra homomorphism and a congruence relation.

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References

  1. K. Iseki and S. Tanaka, An introduction to theory of BCK-algebras, Sci. Math. Jpn. 23 (1978), 1-26.
  2. K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
  3. H. S. Kim and Y. H. Kim, On BE-algebras, Sci. Math. Jpn. e-2006, 1199-1202.
  4. K. H. Kim, On CS-algebras, Pure Mathematical. Sciences 1 (2012), no. 3, 115-121.
  5. B. L. Meng, CI-algebras, Sci. Math. Jpn. e-2009, 695-701.
  6. B. L. Meng, Atoms in CI-algebras and singular CI-algebras, Sci. Math. Jpn. e-2010, 319-324.