Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 10

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
w słowach kluczowych:  BCK-algebra
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
We prove the result announced by the title as well as some of its consequences.
Content available remote On BG-algebras
In this paper we introduce the notion of BG-algebras which is a generalization of BG-algebras. We construct a BG-algebra from a non-empty set, which is non-group-derived. Moreover, using the notion of normal subalgebra, we obtain several isomorphism theorems of BG-algebra and related properties.
Content available remote When is a BCC-algebra equivalent to an MV-algebra?
The aim of this paper is to characterize BCC-algebras which are term equivalent to MV-algebras. It turns out that they arę just the bounded commutative BCC-algebras. Purther, we characterize congruence kernels as deductive systems. The explicit description of a principal deductive system enables us to prove that every subdirectly irreducible bounded commutatwe BCC-algebra is a chain (with respect to the induced order) .
Content available remote Some examples of involutory BCK-algebras
K. Iseki raised some unsolved problems on BCK-algebras in 1979. One of them is as follows: Is there a non-commutative BCK-algebra satisfying NNx = x? By giving some examples of such algebras, A. Grzaslewicz definitely answered this problem in 1980. Based on Grzaslewicz's work, we give some further examples in this paper.
Content available remote Irreducible ideals in BCI-algebras
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.
Content available remote Fuzzy QA-ideals in weak BCC-algebras
The purpose of this paper is description of properties of QA-ideals and fuzzy QA-ideals in weak BCC-algebras.
Content available remote Notes on BCK-algebraa with condition (s)
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).
Content available remote On representations of commutative BCK-algebras
We introduce the relative cancellation property for commutative BCK-algebras and we study the problem of embedding of commutative BCK-algebras into Abelian lattice ordered groups. We show that if a BCK-algebra is not directed upwards, then we cannot use the method of Wyler and Baer. Anyway, supposing either union property or unitary extendibility, we can present the embedding of such a BCK-algebra into the positive cone of an Abelian lattice ordered group with universal property. Finally, some interesting examples are presented.
Content available remote On commutative residual ponoids
In the present paper we prove the following r
Content available remote Fuzzy prime and fuzzy irreducible BCK-filters in BCK-algebras
In this paper we discuss the fuzzification of prime and irreducible BCK-filters in BCK-algebras, and invesigate its properties.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.