Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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k-NIL RADICAL IN BCI-ALGEBRAS II

  • Jun, Y.B (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University) ;
  • Hong, S.M (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
  • Published : 1997.07.01
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Abstract

This paper is a continuation of [3]. We prove that if A is quasi-associative (resp. an implicative) ideal of a BCI-algebra X then the k-nil radical of A is a quasi-associative (resp. an implicative) ideal of X. We also construct the quotient algebra $X/[Z;k]$ of a BCI-algebra X by the k-nhil radical [A;k], and show that if A and B are closed ideals of BCI-algebras X and Y respectively, then

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References

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