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GENERAL FORMS OF BZ-IDEALS AND T-IDEALS IN BZ-ALGEBRAS
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  • Journal title : Honam Mathematical Journal
  • Volume 30, Issue 2,  2008, pp.379-390
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2008.30.2.379
 Title & Authors
GENERAL FORMS OF BZ-IDEALS AND T-IDEALS IN BZ-ALGEBRAS
Jun, Young-Bae; Zhang, Xiaohong;
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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
BZ-ideal;BZ(m, n)-ideal;T-ideal;T(m, n)-ideal;T-type BZ-algebra;T(m)-type BZ-algebra;
 Language
English
 Cited by
 References
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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.