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Coupled N-structures applied to ideals in d-algebras

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The notions of coupled N-subalgebra, coupled (positive im-plicative) N-ideals of d-algebras are introduced, and related propertiesare investigated. Characterizations of a coupled N-subalgebra and a cou-pled (positive implicative) N-ideals of d-algebras are given. Relationsamong a coupled N-subalgebra, a coupled N-ideal and a coupled posi-tive implicative N-ideal of d-algebras are discussed.

Abstract

The notions of coupled N-subalgebra, coupled (positive im-plicative) N-ideals of d-algebras are introduced, and related propertiesare investigated. Characterizations of a coupled N-subalgebra and a cou-pled (positive implicative) N-ideals of d-algebras are given. Relationsamong a coupled N-subalgebra, a coupled N-ideal and a coupled posi-tive implicative N-ideal of d-algebras are discussed.

참고문헌 (14)

  1. 안선신, "IDEAL THEORY OF d-ALGEBRAS BASED ON N-STRUCTURES", Journal of Applied Mathematics and Informatics, 29(5), pp.1489~1500 (2011), 한국전산응용수학회
  2. 안선신, "ON KERNELS AND ANNIHILATORS OF LEFT-REGULAR MAPPINGS IN d-ALGEBRAS", 호남수학학술지, 30(4), pp.645~658 (2008), 호남수학회
  3. P. J. Allen, "L-up and mirror algebras", Sci. Math. Jpn, 59(3), pp.605~612 (2004)
  4. P. J. Allen, "Companion d-algebras", Math. Slovaca, 57(2), pp.93~106 (2007)
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  7. K. Is´eki, "On BCI-algebras", Math. Sem. Notes Kobe Univ, 8(1), pp.125~130 (1980)
  8. K. Is´eki, "An introduction to the theory of BCK-algebras", Math. Japon, 23(1), pp.1~26 (1978)
  9. Y. B. Jun, "Coupled N-structures and its appli- cation in BCK", BCI-algebras, 2013, pp.37(2), 133~140
  10. Y. B. Jun, "Fuzzy d-ideals of d-algebras", J. Fuzzy Math, 8(1), pp.123~130 (2000)
  11. Y. C. Lee, "On d-subalgebras of d-transitive d∗-algebras", Math. Slovaca, 49(1), pp.27~33 (1999)
  12. J. Neggers, "On d-fuzzy functions in d-algebras", Found. Phys, 30(10), pp.1807~1816 (2000)
  13. J. Neggers, "On d-ideals in d-algebras", Math. Slovaca, 49(3), pp.243~251 (1999)
  14. J. Neggers, "On d-algebras", Math. Slovaca, 49(1), pp.19~26 (1999)

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