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On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras [PDF]

Journal of Pure and Applied Algebra, 2014
In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras.
Manuel Ceballos, David A Towers
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Symmetries of the Poset of Abelian Ideals in a Borel Subalgebra

Journal of Lie Theory, 2014
The study of abelian subalgebras of a finite dimensional semisimple Lie algebra has an ancient root. In 1945, \textit{A. I. Mal'tsev} [Izv. Akad. Nauk SSSR, Ser. Mat. 9, 291--300 (1945; Zbl 0063.03728)] found the maximal dimension of the abelian subalgebras of a finite dimensional simple Lie algebra. Also in 1965, \textit{B. Kostant} [Topology 3, Suppl.
P. Cellini, MÖSENEDER FRAJRIA, PIERLUIGI, P. Papi   +2 more
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Bipolar fuzzy soft subalgebras and ideals of BCK/BCI-algebras based on bipolar fuzzy points

Journal of Intelligent & Fuzzy Systems, 2019
In this paper, the concept of quasi-coincidence of a bipolar fuzzy point within a bipolar fuzzy set is introduced. The notion of ∈-bipolar fuzzy soft set and q-bipolar fuzzy soft set is introduced based on a bipolar fuzzy set and characterizations for an
C. Jana, Tapan Senapati, K. Shum, M. Pal
semanticscholar   +1 more source

Picture Fuzzy Subalgebras and Ideals in Sheffer Stroke UP-Algebras

Journal of Advances in Mathematics and Computer Science
Picture fuzzy sets, introduced by Cuong in 2014, extend intuitionistic fuzzy sets by assigning three independent degrees to each element-positive membership (μ), neutral membership (η), and negative membership (ν), together with an explicit refusal ...
M. K. Gunjan, A. Adak, Wajid Ali
semanticscholar   +1 more source

Fast algorithms constructing minimal subalgebras, congruences, and ideals in a finite algebra

Theoretical Computer Science, 1985
Fast algorithms are presented which find the minimal nontrivial congruences, subalgebras, and ideals of a finite algebra, given by tables of its operations. Our method involves finding objects which are minimal among all nontrivial objects, i.e., objects
Demel, J., Demlová, M., Koubek, V.
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The Maximal Ideal Space of Subalgebras of the Disk Algebra

Canadian Mathematical Bulletin, 1975
Let X be a compact Hausdorff space and C(X) the complexvalued continuous functions on X. We say A is a function algebra on X if A is a point separating, uniformly closed subalgebra of C(X) containing the constant functions. Equipped with the sup-norm ‖f‖ = sup{|f(x)|: x ∊ X} for f ∊ A, A is a Banach algebra.
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Fuzzy ideals and fuzzy subalgebras of Lie algebras

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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$$ ( \in , \in \vee q) $$ ( ∈ , ∈ ∨ q ) -Fuzzy Lie Subalgebra and Ideals

International Journal of Fuzzy Systems, 2015
There is an error in the proof of part $$ ({\text{iii}}) \Rightarrow (3) $$ of Theorem 4.2 in Davvaz and Mozafar (Int J Fuzzy Syst 11(2):123–129, 2009).
Wei Guo, Liangyun Chen
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Computational Complexity of Polynomial Subalgebras

International Symposium on Symbolic and Algebraic Computation
The computational complexity of polynomial ideals and Gröbner bases has been studied since the 1980s. In recent years, the related notions of polynomial subalgebras and SAGBI bases have gained more and more attention in computational algebra, with a view
Elisabeth Leonie Kayser
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On Interval-Valued Intuitionistic Fuzzy Subalgebras of Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics
This paper explores the structure of interval-valued intuitionistic fuzzy (IVIF) subsets within the framework of Sheffer stroke Hilbert algebras (SSHAs).
A. Iampan, N. Rajesh, T. Oner, Firat Ates, K. Geetha, A. Saeid   +5 more
semanticscholar   +1 more source