Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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GENERAL FORMS OF BZ-IDEALS AND T-IDEALS IN BZ-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education (and RINS), Gyeongsang National University) ;
  • Zhang, Xiaohong (The Faculty of Science, Ningbo University)
  • Received : 2008.04.10
  • Accepted : 2008.05.16
  • Published : 2008.06.25
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Abstract

More general forms of a BZ-ideal and a T-ideal are given, and appropriate examples are provided. The notion of T(m)-type BZ-algebra is introduced, and its characterizations are given.

Keywords

References

  1. R. F. Ye, On BZ-algebras, Selected Papers on BCI, BCK-algebras and Computer Logics, Shanghai Jiaotong Univ. Press, (1991), 21-24.
  2. R. F. Ye and X. H. Zhang, On ideals in BZ-algebras and its homomorphism theorems, J. East China University of Science and Technology (in Chinese) 19 (1993), no. 6, 775-778.
  3. X. H. Zhang, Y. Q. Wang and W. A. Dudek, T-ideals in BZ-algebras and T-type BZ-algebras, Indian J. Pure Appl. Math. 34 (2003), no. 11, 1559-1570.
  4. X. H. Zhang and R. F. Ye, BZ-algebra and group, J. Math. and Physical Sciences 29 (1995), no. 5, 223-233.