Results 101 to 110 of about 4,598 (226)

Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions

open access: yesBulletin of the Belgian Mathematical Society Simon Stevin, 2019
Let IE be a complete ultrametric space, let IK be a perfect complete ultrametric field and let A be a Banach IK-algebra which is either a full IK-subalgebra of the algebra of continuous functions from IE to IK owning all characteristic functions of ...
M. Chicourrat, B. Diarra, A. Escassut
semanticscholar   +1 more source

Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley   +1 more source

Superior subalgebras and ideals of BCK/BCI-algebras

open access: yes, 2016
The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated.
Song, Seok, Jun, Young
core   +1 more source

The universal family of punctured Riemann surfaces is Stein

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley   +1 more source

Correction to: On Leibniz Algebras Whose Subalgebras Are Either Ideals or Self-Idealizing Subalgebras [PDF]

open access: yesUkrainian Mathematical Journal, 2022
L. A. Kurdachenko   +2 more
openaire   +1 more source

Abelian Ideals with Given Dimension in Borel Subalgebras [PDF]

open access: yesAlgebra Colloquium, 2012
A well-known Peterson's theorem says that the number of abelian ideals in a Borel subalgebra of a rank-r finite-dimensional simple Lie algebra is exactly 2r. In this paper, we determine the dimensional distribution of abelian ideals in a Borel subalgebra of finite-dimensional simple Lie algebras, which is a refinement of Peterson's theorem capturing ...
openaire   +2 more sources

Uniqueness of extremal almost periodic states on the injective type III1$\mathrm{III}_1$ factor

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let R∞$R_\infty$ denote the Araki–Woods factor—the unique separable injective type III1$\mathrm{III}_1$ factor. For extremal almost periodic states φ,ψ∈(R∞)∗$\varphi, \psi \in (R_\infty)_*$, we show that if Δφ$\Delta _\varphi$ and Δψ$\Delta _\psi$ have the same point spectrum, then ψ=φ∘α$\psi = \varphi \circ \alpha$ for some α∈Aut(R∞)$\alpha ...
Michael Hartglass, Brent Nelson
wiley   +1 more source

Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan   +3 more
doaj   +1 more source

An interesting class of ideals in subalgebras of $C(X)$ containing $C^*(X)$ [PDF]

open access: yes, 2007
summary:In the present paper we give a duality between a special type of ideals of subalgebras of $C(X)$ containing $C^*(X)$ and $z$-filters of $\beta X$ by generalization of the notion $z$-ideal of $C(X)$.
De, Dibyendu, Acharyya, Sudip Kumar
core  

Lorentzian homogeneous structures with indecomposable holonomy

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley   +1 more source

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