Results 11 to 20 of about 3,769 (264)

A new kind of soft algebraic structures: bipolar soft Lie algebras

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, basic concepts of soft set theory was mentioned. Then, bipolar soft Lie algebras and bipolar soft Lie ideals were defined with the help of soft sets. Some algebraic properties of the new concepts were investigated. The relationship between
F. Çıtak
doaj   +1 more source

On Groups whose Subnormal Abelian Subgroups are Normal [PDF]

open access: yesAdvances in Group Theory and Applications, 2022
In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical.
L.A. Kurdachenko   +2 more
doaj   +1 more source

Complex intuitionistic fuzzy Lie subalgebras under norms [PDF]

open access: yesNotes on IFS
The purpose of this paper is to define the concepts of complex intuitionistic fuzzy Lie subalgebras and complex intuitionistic fuzzy Lie ideals with respect to norms (t-norm T and s-norm S) of Lie subalgebras and discuss their relationship them with Lie ...
Rasul Rasuli
doaj   +1 more source

On (1,2)-absorbing primary ideals and uniformly primary ideals with order ≤ 2

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
This paper introduces a subset of the set of 1-absorbing primary ideals introduced in [3]. An ideal I of a ring R is (1,2)-absorbing primary if, whenever non-unit elements α, β, γ ∈ R with αβγ ∈ I,then αβ ∈ I or γ2 ∈ I.
Alhazmy Khaled   +3 more
doaj   +1 more source

Intermediate rings of complex-valued continuous functions

open access: yesApplied General Topology, 2021
For a completely regular Hausdorff topological space X, let C(X, C) be the ring of complex-valued continuous functions on X, let C ∗ (X, C) be its subring of bounded functions, and let Σ(X, C) denote the collection of all the rings that lie between C ...
Amrita Acharyya   +3 more
doaj   +1 more source

Concerning strong Lie ideals [PDF]

open access: yesProceedings of the American Mathematical Society, 1960
Let A be a simple ring of characteristic 5 2 or 3, with either its center Z = (0) or of dimension greater than 16 over its center, and with an involution defined on it. Let S and K be the sets of symmetric and skew elements respectively. The Lie and Jordan products are [u, v] =uv-vu and uov=uv+vu.
openaire   +1 more source

Lie algebras with a finite number of ideals [PDF]

open access: yesLinear and Multilinear Algebra, 2020
In this paper we focus on the structure of the variety of Lie algebras with a finite number of ideals and their graph representations using Hasse diagrams. The large number of necessary conditions on the algebraic structure of this type of algebras leads to the explicit description of those algebras in the variety with trivial Frattini subalgebra.
Benito, null, Roldán-López, null
openaire   +4 more sources

Generalized derivations acting on Lie ideals in prime rings and Banach algebras

open access: yesМатематичні Студії, 2023
Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R.$ The purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities locally on $L.$ More precisely, we consider two generalized derivations $F_1$ and
A. Hermas, L. Oukhtite, L. Taoufiq
doaj   +1 more source

Inner Ideals of the Real Five-Dimensional Lie Algebras with Two-Dimensional Derived, Such That l′ ⊈ z

open access: yesWasit Journal for Pure Sciences
— Inner ideal of the five-dimensional non-commutative Lie alge- bras over the real fields with two-dimensional derived were classified. It is proved that one, two, three and four-dimensional inner ideals are exist in every five-dimensional Lie algebra ...
mustafa shamkhi
doaj   +1 more source

Algebra, coalgebra, and minimization in polynomial differential equations [PDF]

open access: yesLogical Methods in Computer Science, 2019
We consider reasoning and minimization in systems of polynomial ordinary differential equations (ode's). The ring of multivariate polynomials is employed as a syntax for denoting system behaviours.
Michele Boreale
doaj   +1 more source

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