Results 1 to 10 of about 79,106 (154)

On Q-algebras

International Journal of Mathematics and Mathematical Sciences, 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.
Joseph Neggers, Sun Shin Ahn, Hee Sik Kim   +2 more
doaj   +1 more source

A p-Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets

Mathematics, 2020
In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras.
Jeong-Gon Lee, Mohammad Fozouni, Kul Hur, Young Bae Jun   +3 more
doaj   +1 more source

On BRK-Algebras

International Journal of Mathematics and Mathematical Sciences, 2012
The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties.
Ravi Kumar Bandaru
doaj   +1 more source

Exploring the Structural Aspects of Interval-Valued Intuitionistic Neutrosophic Fuzzy Ẑ-Subalgebra [PDF]

Neutrosophic Sets and Systems
The article develops an updated methodology of interval-valued intuitionistic neutrosophic sets (IVINS) based on Ẑ-algebra theoretical structures.
K. P. Shanmugapriya, P. Hemavathi, M. Al-Labadi, S. Khalil, A. E. Kadhm, Qays H. Imran   +5 more
doaj   +1 more source

Algebras for parameterised monads

, 2009
Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the Eilenberg-Moore category of algebras for parameterised monads and
Robert Atkey, Atkey, Robert
core   +1 more source

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
core   +1 more source

Deductive systems of pseudo-M algebras

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
The class of pseudo-M algebras contains pseudo-BCK, pseudo-BCI, pseudo-BCH, pseudo-BE, pseudo-CI algebras and many other algebras of logic. In this paper, the notion of deductive system in a pseudo-M algebra is introduced and its elementary properties ...
Andrzej Walendziak
doaj  

Foldness of Bipolar Fuzzy Sets and Its Application in BCK/BCI-Algebras

Mathematics, 2019
Recent trends in modern information processing have focused on polarizing information, and and bipolar fuzzy sets can be useful. Bipolar fuzzy sets are one of the important tools that can be used to distinguish between positive information and negative ...
Young Bae Jun, Seok-Zun Song
doaj   +1 more source

Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras

Mathematics, 2020
The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
doaj   +1 more source

Almost nilpotent Lie algebras [PDF]

, 1987
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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