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
Wyszukiwano:
w słowach kluczowych:  BCK-algebra
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
EN
We prove the result announced by the title as well as some of its consequences.
2
Content available remote On BG-algebras
EN
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.
3
Content available remote When is a BCC-algebra equivalent to an MV-algebra?
EN
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) .
4
Content available remote Some examples of involutory BCK-algebras
EN
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.
5
Content available remote Irreducible ideals in BCI-algebras
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.
6
Content available remote Fuzzy QA-ideals in weak BCC-algebras
EN
The purpose of this paper is description of properties of QA-ideals and fuzzy QA-ideals in weak BCC-algebras.
7
Content available remote Notes on BCK-algebraa with condition (s)
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).
8
Content available remote On representations of commutative BCK-algebras
EN
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.
9
Content available remote On commutative residual ponoids
EN
In the present paper we prove the following r
10
Content available remote Fuzzy prime and fuzzy irreducible BCK-filters in BCK-algebras
EN
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.