논문KCI 등재
On direct sums in bounded BCK-algebras
대한수학회 (The Korean Mathematical Society)|2005.04|대한수학회논문집 (Communications of the KMS)|제20권 제2호|pp. 221-229
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Abstract
In this paper we consider the decompositions of sub-direct sums and direct sums in bounded BCK- algebras. The mainresults are as follows. Given a bounded BCK-algebra X, if X can be decomposed as the subdirect sum Li2IAi of a nonzero ideal family fAi j i 2 Ig of X, then I is ¯nite, every Ai is bounded, and X is embeddable in the direct sum Li2I Ai; if X is with condition(S), then it can be decomposed as the subdirect sum Li2IAi if and only if it can be decomposed as the direct sum Li2I Ai; if X can be decomposed as the direct sum Li2I Ai, then it is isomorphic to the direct product Qi2I Ai.
참고문헌 (6)
- "Direct product theory of well BCI-algebras", 3(2), pp.17~28 (1987)
- "Direct sums of well BCI-algebras", 9(2), pp.13~16 (1993)
- "Additive decomposition of BCI-algebras with condi-tion", 41(2), pp.303~310 (1995)
- "On BCI-algebras", pp.125~130 (1980)
- "On BCI-algebras with condition", pp.171~172 (1980), Math. Seminar Notes8
- "Ideal theory of BCK-algebras", 21, pp.351~366 (1976)
관련 논문AI추천
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