نتایج جستجو برای: bck algebra

تعداد نتایج: 70088  

Journal: :Int. J. Math. Mathematical Sciences 2011
Myung Im Doh Min Su Kang

D. Buşneag 1 defined pseudo valuation on a Hilbert algebra and proved that every pseudo valuation induces a pseudometric on a Hilbert algebra. Also, D. Buşneag 2 provided several theorems on extensions of pseudo valuations. C. Buşneag 3 introduced the notions of pseudo valuations valuations on residuated lattices, and proved some theorems of extension for these using the model of Hilbert algebr...

2001
MICHIRO KONDO

We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I =M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J =M(M−1(J)) for any order ideal J of X, thus, for each BCK-algebra X there is a one-to-one correspondence between the set (X) of all ideals of X and the...

Journal: :Communications of the Korean Mathematical Society 2015

Journal: :Multiple-Valued Logic and Soft Computing 2006
Afrodita Iorgulescu

In this paper we study particular classes of pseudo-BCK algebras, bounded or not bounded, as pseudo-BCK(pP) algebras, pseudo-BCK(pP) lattices, pseudo-Hájek(pP) algebras and pseudo-Wajsberg algebras. We introduce new classes of pseudo-BCK(pP) lattices, we establish hierarchies and we give some examples. We work with left-defined algebras and we work with → and ; as primitive operations, not with...

2005
J. Ahsan

This paper initiates the study of the algebra of quotients associated with a given BCK-algebra, analogous to the classical rings of quotients and their subsequent generalizations. MIRAMAKE TRIESTE August 198B * To appear in "Hath. Japonlca" (1988). ** Permanent address: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.

Journal: :iranian journal of fuzzy systems 2004
mahmood bakhshi rajab ali borzooei mohammad mehdi zahedi

in this note first we define the notions of fuzzy positive implicativehyper bck-ideals of types 1,2,3 and 4. then we prove some theorems whichcharacterize the above notions according to the level subsets. also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperbck-ideals and fuzzy positive implicative hyper bck-ideals of types 5,6,7and 8. then, we define the no...

Journal: :Journal of function spaces 2022

This paper deals with the study of generalizations fuzzy subalgebras and ideals in BCK/BCI-algebras. In fact, notions ∈ , ∨ κ ~ ∗ q -fuz...

Journal: :International Journal of Mathematics and Mathematical Sciences 2011

Journal: :Symmetry 2023

This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals investigate several of their related characteristics. BF-algebra ideal characteristics are taken into account, supported examples built. Here, also develop new concepts known as hyper-B-algebra, hyper-BG-algebra, hyper-BH algebra generalizations o...

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