Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Smarandache Fresh and Clean Ideals of Smarandache BCI-algebras

  • Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
  • Received : 2005.03.24
  • Published : 2006.09.23
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Abstract

The notion of Smarandache fresh and clean ideals is introduced, examples are given, and related properties are investigated. Relations between Q-Smarandache fresh ideals and Q-Smarandache clean ideals are given. Extension properties for Q-Smarandache fresh ideals and Q-Smarandache clean ideals are established.

Keywords

References

  1. Y. B. Jun, Smarandache BCI-algebras, Sci. Math. Jpn., 62(1)(2005), 137-142.
  2. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoonsa Co. Seoul, Korea (1994).
  3. R. Padilla, Smarandache algebraic structures, Bull. Pure Appl. Sci., Delhi, 17E(1)(1998), 119-121; http://www.gallup.unm.edu/smarandache/alg-s-tx.txt.
  4. W. B. Vasantha Kandasamy, Smarandache groupoids; http://www.gallup.unm.edu/smarandache/Groupoids.pdf.