Irreducible ideals in BCI-algebras

• Autorzy: Huang Y.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we show some results of irreducible ideals in BCI-algebras, including that every proper ideal of a BCK-algebra can be decomposed as the intersection of all minimal irreducible ideals associated with it, etc.

Słowa kluczowe

EN

BCK-algebra; BCI-algebra; irreducible ideal; prime ideal

PL

BCI-algebra; BCK-algebra

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 2--8
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Huang Y.

• Department of Mathematics, Sanming College, Sanming, Fujian 365004 P.R., China

Bibliografia

• [1] Z.M. Chen and H.X. Wang, Closed ideals and congruences on BCI-algebras, Kobe J. Math. 8 (1991), 1-9.
• [2] K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
• [3] K. Iseki and S. Tanaka, Ideal theory of BCK-algebras, Math. Japonica 21 (1976), 351-366.
• [4] H. Jiang, Atlas of proper BCI-algebras of order n ≤ 5, Math. Japonica 38 (1993), 589-591.
• [5] M. Pałasiński, Ideals in BCK-algebras which are lower semilattices, Math. Japonica 26 (1981), 245-250.
• [6] M. Pałasiński, Decompsition of ideals in certain BCK-algebras, Math. Seminar Notes 10 (1982), 467-471.