Results 11 to 20 of about 5,611 (257)

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

Two Generator Subalgebras Of Lie Algebras. [PDF]

open access: yes, 2007
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman   +5 more
core   +1 more source

Higher Derivations on Lie Ideals

open access: yesTrends in Computational and Applied Mathematics, 2002
In this paper we present a brief proof of a recently proved result [5, Corollary 1.4]. The main result states that if R is a prime ring of characteristic different of 2 and U is a Lie ideal of R where U 6½ Z(R), the center of R, u2 2 U for all u 2 U, and
C. HAETINGER
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

The index complex of a maximal subalgebra of a Lie algebra. [PDF]

open access: yes, 2011
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A., David A. Towers
core   +1 more source

Lie algebras with a small number of ideals [PDF]

open access: yes, 1992
We determine the Lie algebras such that their number of ideals is at most five. A complete classification is given of the solvable Lie algebras in this class over algebraically closed fields of characteristic zero and the real ...
M.Pilar Benito Clavijo   +2 more
core   +1 more source

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   +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

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

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

open access: yes, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core   +1 more source

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