Results 21 to 30 of about 470,840 (277)

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

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

C-Supplemented Subalgebras of Lie Algebras. [PDF]

open access: yes, 2008
A subalgebra $B$ of a Lie algebra $L$ is c-{\it supplemented} in $L$ if there is a subalgebra $C$ of $L$ with $L = B + C$ and $B \cap C \leq B_L$, where $B_L$ is the core of $B$ in $L$.
Towers, David A.
core   +3 more sources

Elementary Lie Algebras and Lie A-Algebras. [PDF]

open access: yes, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
core   +2 more sources

Derivations satisfying certain algebraic identities on Lie ideals [PDF]

open access: yesMathematica Moravica, 2019
Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is proved that every noncentral square-closed Lie ideal of R contains a nonzero ideal of R. Further, we use this result to characterize the conditions: d(xy) = d(
Sandhu Gurninder S., Kumar Deepak
doaj  

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