Notes on BCK-algebraa with condition (s)

• Autorzy: Huang Y.
• Języki publikacji: EN

Abstrakty

EN

Some further properties related to BCK-algebras with the condition (S) are obtained. The main results are as follows: (i) If a commutative BCK-algebra X is a lattice with respect to the BCK-ordering <, then X need not be with the condition (S); (ii) A positive implicative BCK-algebra X with the condition (S) may not be a lattice with respect to <, moreover, if (X; <) is a lattice, it must be a distributive lattice; (iii) Each involutory BCK-algebra is with the condition (S).

Słowa kluczowe

EN

BCK-algebra; lattices; condition (S)

PL

BCK-algebra; kraty; warunek (S)

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 3
• Strony: 452--457
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Huang Y.

• Department of Mathematics Quanzhou Normal College Quanzhou, Fujian 362000 P.R. China