Results 61 to 70 of about 128 (117)

Refined Dynkin Data for Nilpotent Elements

Advances in Mathematics, 1994
For a complex semisimple Lie group \(G\), whose Lie algebra \(\mathfrak g\) acts by vector fields on the flag variety \({\mathcal B} (G/B)\), the class \(\text{cl}_B(x)\) (Cartan algebra of \(\mathfrak g\)) of nilpotent elements \(x \in \mathfrak g\) with respect to the Borel subgroup \(B \in {\mathcal B}\) in \(G\) is defined and studied in detail ...
openaire   +2 more sources

Jordan homomorphisms and T‐ideals

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley   +1 more source

Derangements in intransitive groups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley   +1 more source

Alperin's bound and normal Sylow subgroups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng, J. Miquel Martínez, Damiano Rossi   +2 more
wiley   +1 more source

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Simultaneous Bosonic and Fermionic T‐Dualization of the Type II Superstring Theory—Buscher Approach and Double Space Representation

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract In this article I consider type II superstring in the pure spinor formulation with constant background fields in the context of T‐dualization. First, I prove that bosonic and fermionic T‐dualization commute using already known T‐dual transformation laws for bosonic and fermionic T‐dualization.
B. Nikolić
wiley   +1 more source

On stabilizers in finite permutation groups

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley   +1 more source

Strongly Invo. T- Clean Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
doaj   +1 more source

The nilpotent regular element problem

, 2015
We use George Bergman's recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element $x$ need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent ...
Ara, P., O'Meara, K. C.
openaire   +2 more sources

On the girth of regular digraph of ideals of an Artinian ring

AKCE International Journal of Graphs and Combinatorics, 2015
Let R be a commutative ring. The regular digraph of ideals of R, denoted by Γ(R), is a digraph whose vertex-set is the set of all non-trivial ideals of R and, for every two distinct vertices I and J, there is an arc from I to J, whenever I contains an ...
Masoud Karimi
doaj   +1 more source