Results 51 to 60 of about 216 (83)
On fuzzy dot subalgebras of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 6, Page 357-364, 2001., 2001 We introduce the notion of fuzzy dot subalgebras in BCH‐algebras, and study its various properties.
Sung Min Hong +3 more
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
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
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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 +2 more
wiley +1 more source
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
Cubic BOI-ideal of BOI-algebra [PDF]
, 2019 In this paper, the notion of cubic BOI-ideal of BOI-algebra is introduced. Some characterization of cubic BOI-ideal of BOI-algebra is given. Several theorems are presented in this regard.
El-Gendy, Osama Rashad
core +2 more sources
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
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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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