국가지식-학술정보
k-NIL RADICAL IN BCI-ALGEBRAS II
k-NIL RADICAL IN BCI-ALGEBRAS II
- 대한수학회
- Communications of the Korean Mathematical Society
- Vol.12 No.3
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1997.01499 - 505 (7 pages)
- 0
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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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