Results 81 to 90 of about 203 (170)

Abelian subalgebras and ideals of maximal dimension in Poisson algebras

Journal of Algebra
This paper studies the abelian subalgebras and ideals of maximal dimension of Poisson algebras $\mathcal{P}$ of dimension $n$. We introduce the invariants $α$ and $β$ for Poisson algebras, which correspond to the dimension of an abelian subalgebra and ideal of maximal dimension, respectively. We prove that these invariants coincide if $α(\mathcal{P}) =
A. Fernández Ouaridi, R.M. Navarro, D.A. Towers   +2 more
openaire   +4 more sources

SBE-Algebras via Intuitionistic Fuzzy Structures

Mathematics
The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding
Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei   +3 more
doaj   +1 more source

A characterisation of Lie algebras using ideals and subalgebras

Bulletin of the London Mathematical Society
AbstractWe prove that if, for a non‐trivial variety of non‐associative algebras, every subalgebra of every free algebra is free and is an ideal whenever is an ideal, then this variety coincides with the variety of all Lie algebras.
Vladimir Dotsenko, Xabier García‐Martínez   +1 more
openaire   +4 more sources

New Branch of Intuitionistic Fuzzification in Algebras with Their Applications

International Journal of Mathematics and Mathematical Sciences, 2018
The intuitionistic fuzzification in ρ-algebras about the concepts of ideals and subalgebras given with several related characterizations is considered.
Samaher Adnan Abdul-Ghani, Shuker Mahmood Khalil, Mayadah Abd Ulrazaq, Abu Firas Muhammad Jawad Al-Musawi   +3 more
doaj   +1 more source

On the generalization of pseudo p-closure in pseudo BCI-algebras [PDF]

Journal of Hyperstructures
In this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. The gcl of subalgebras and pseudo-ideals is discussed.
Padena Pirzadeh Ahvazi, Habib Harizavi, Tayebeh Koochakpoor   +2 more
doaj   +1 more source

Variable-moment fluid closures with Hamiltonian structure. [PDF]

Sci Rep, 2023
Burby JW.
europepmc   +1 more source

Partial Constant Hesitant Fuzzy Sets on UP-Algebras

Journal of New Theory, 2018
In this paper, partial constant hesitant fuzzy sets on UP-algebras are introduced and proved some results. Further, we discuss the relation between partial constant hesitant fuzzy sets and UP-subalgebras (resp.
Phakawat Mosrijai, Akarachai Satirad, Aiyared Iampan   +2 more
doaj  

A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras

Mathematics
The concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Manivannan Balamurugan, Thukkaraman Ramesh, Anas Al-Masarwah, Kholood Alsager   +3 more
doaj   +1 more source

A New Perspective on Intuitionistic Fuzzy Structures in Sheffer Stroke BCK-Algebras

Axioms
This study introduces the concept of an intuitionistic fuzzy SBCK-subalgebra (SBCK-ideal) and explores the level set of an intuitionistic fuzzy set within the context of Sheffer stroke BCK-algebras.
Ravi Kumar Bandaru, Rajesh Neelamegarajan, Tahsin Oner, Amal S. Alali   +3 more
doaj   +1 more source

Causality in Schwinger's Picture of Quantum Mechanics. [PDF]

Entropy (Basel), 2022
Ciaglia FM, Di Cosmo F, Ibort A, Marmo G, Schiavone L, Zampini A.   +5 more
europepmc   +1 more source