Results 41 to 50 of about 347 (90)

Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan, Jun Young Bae, Muhiuddin G., Shum K. P.   +3 more
doaj   +1 more source

Vague BCK/BCI-algebras [PDF]

, 2009
In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are ...
Arsham Borumand Saeid
core   +1 more source

On Q‐algebras

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 12, Page 749-757, 2001., 2001
We introduce a new notion, called a Q‐algebra, which is a generalization of the idea of BCH/BCI/BCK‐algebras and we generalize some theorems discussed in BCI‐algebras. Moreover, we introduce the notion of “quadratic” Q‐algebra, and show that every quadratic Q‐algebra (X; ∗, e), e ∈ X, has a product of the form x∗y = x − y + e, where x, y ∈ X when X is ...
Joseph Neggers, Sun Shin Ahn, Hee Sik Kim   +2 more
wiley   +1 more source

Study of Hilbert algebras in point of filters

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
The aim of this work is to introduce some types of filters in Hilbert algebras. Some theorems are stated and proved which determine the relationship between these notions and other filters of Hilbert algebra and by some examples we show that these ...
Nasab Ali Soleimani, Saeid Arsham Borumand   +1 more
doaj   +1 more source

Relationship between ideals of BCI‐algebras and order ideals of its adjoint semigroup

International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 9, Page 535-543, 2001., 2001
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 ...
Michiro Kondo
wiley   +1 more source

Singly generated quasivarieties and residuated structures [PDF]

, 2019
A quasivariety K of algebras has the joint embedding property (JEP) iff it is generated by a single algebra A. It is structurally complete iff the free countably generated algebra in K can serve as A.
Anderson A. R., Bergman C., Chang C. C., Citkin A. I., Citkin A. I., Dywan Z., Esakia L. L., Esakia L. L., Galatos N., Gorbunov V. A., Jónsson B., Kuznetsov A. V., Magari R., Maltsev A. I., Maltsev A. I., Maltsev A. I., Minari P., Pogorzelski W. A., Pogorzelski W. A., Prucnal T., Rybakov V. V., Wroński A., Wroński A., Wroński A., Łoś J., Łoś J.   +25 more
core   +2 more sources

Fuzzy associative ℐ‐ideals of IS‐algebras

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 729-735, 2000., 2000
We fuzzify the concept of an associative ℐ‐ideal in an IS‐algebra. We give a relation between a fuzzy ℐ‐ideal and a fuzzy associative ℐ‐ideal, and we investigate some related properties.
Eun Hwan Roh, Young Bae Jun, Wook Hwan Shim   +2 more
wiley   +1 more source

MBJ-neutrosophic ideals of BCK/BCI-algebras

Open Mathematics, 2019
The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided.
Jun Young Bae, Roh Eun Hwan
doaj   +1 more source

Solid weak BCC-algebras

, 2012
We characterize weak BCC-algebras in which the identity $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same ...
Bunder W. M., Chaudhry M. A., Chaudhry M. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Huang Y. S., Iorgulescu A., Karamdin B., Komori Y., Meng J., Mundici D., Rasiowa H., Thomys J., Thomys J., Wieslaw A. Dudek, Zhang X. H., Zhang X. H., Zhang X. H., Zhang X. H.   +23 more
core   +1 more source

Intuitionistic fuzzy ideals of BCK‐algebras

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 839-849, 2000., 2000
We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK‐algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK‐algebra and investigate some related properties.
Young Bae Jun, Kyung Ho Kim
wiley   +1 more source