Results 51 to 60 of about 202 (72)
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
Relation Between Be-Algebras and G-Hilbert Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
doaj +1 more source
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 +2 more
wiley +1 more source
On fuzzy BCC-ideals over a t-norm [PDF]
, 2000 Using a t-norm T, the notion of T-fuzzy BCC-ideals of BCC-algebras is introduced, and some of their properties are investigated.
W. A. Dudek, Y. B. Jun
core
On branchwise commutative pseudo-BCH algebras [PDF]
, 2017 Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given.
Walendziak, Andrzej
core +2 more sources
On a Q-Smarandache Fuzzy Commutative Ideal of a Q-Smarandache BH-algebra [PDF]
, 2016 In this paper, the notions of Q-Smarandache fuzzy commutative ideal and Q-Smarandache fuzzy sub-commutative ideal of a Q-Smarandache BH-Algebra are introduced, examples and related properties are investigated.
Husein, Hadi Abbass +1 more
core +1 more source
Engel, Nilpotent and Solvable BCI-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
Mohammadzadeh Elahe, Borzooei Rajab Ali
doaj +1 more source
Pre-semihyperadditive Categories
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we extend the notion of classical (pre-)semiadditive category to (pre-)semihyperadditive category. Algebraic hyperstructures are algebraic systems whose objects possessing the hyperoperations or multi-valued operation.
Shojaei H. +2 more
doaj +1 more source
Dual commutative hyper-K-idelas of type 1 in hyper K-algebras of order 3 [PDF]
, 2006 In this note we classify the bounded hyper K-algebras of order 3, which have D1 = {1}, D2 = {1, 2} and D3 = {0, 1} as a dual commutative hyper K-ideal of type 1.
Torkzadeh, Lida, Zahedi, Mohammad Mehdi
core
New generalizations of BCI, BCK and Hilbert algebras [PDF]
, 2013 We introduce more generalizations of BCI, BCK and of Hilbert algebras, with proper examples, and show the hierarchies existing between all these algebras, old and new ones.
Iorgulescu, Afrodita
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