Results 51 to 60 of about 128 (117)
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
On the intersections of nilpotent subgroups in simple groups
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley +1 more source
A note on commutativity of automorphisms
International Journal of Mathematics and Mathematical Sciences, 1998 Let α and β automorphisms of a ring satisfying the equation α+α−1=β+β−1. In this paper we prove some results where this equation itself implies the commutativity of α and β.
M. S. Samman +2 more
doaj +1 more source
On prime rings with commuting nilpotent elements [PDF]
Proceedings of the American Mathematical Society, 2009 An open question of Herstein asks whether a simple ring in which all nilpotent elements commute must have no nonzero nilpotent elements. The authors, addressing this question in the context of prime rings, show that a prime ring \(R\) with commuting nilpotent elements has no nonzero nilpotent elements if it satisfies one of the following conditions: (i)
Chebotar, M. A. +2 more
openaire +2 more sources
Laser &Photonics Reviews, Volume 20, Issue 4, 19 February 2026.This manuscript demonstrates the improvements that single photon sources can gain if their source of excitation is quantum rather than classical. Illuminating a pair of identical two‐level systems, the author shows that the excitation with pulses of quantum light yields more antibunched and more indistinguishable emission than if the excitation were ...
Juan Camilo López Carreño
wiley +1 more source
Rings in Which Every Element Is a Sum of a Nilpotent and Three 7-Potents
International Journal of Mathematics and Mathematical SciencesIn this article, we define and discuss strongly S3,7 nil-clean rings: every element in a ring is the sum of a nilpotent and three 7-potents that commute with each other.
Yanyuan Wang, Xinsong Yang
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra
Mathematics, 2019 This article is devoted to the projective Klingenberg spaces over a local ring, which is a linear algebra generated by one nilpotent element. In this case, subspaces of such Klingenberg spaces are described.
Marek Jukl
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