Results 81 to 90 of about 1,530 (213)

The Global Glimm Property for C*‐algebras of topological dimension zero

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng, Hannes Thiel, Eduard Vilalta   +2 more
wiley   +1 more source

Quadratic Jordan algebras whose elements are all invertible or nilpotent

, 1972
We prove that if J \mathfrak {J} is a unital quadratic Jordan algebra whose elements are all either invertible or nilpotent, then modulo the nil radical N \mathfrak {N} the algebra
Kevin McCrimmon
core   +1 more source

A classification of Prüfer domains of integer‐valued polynomials on algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

PI-Algebras Generated by Nilpotent Elements of Bounded Index

, 1997
LetRbe an associative algebra over a fieldFof positive characteristicp. We address the following problem: ifRis generated by nilpotent elements with bounded index, under what conditions can we conclude thatRitself is nil of bounded index?
Riley, David M.
core   +1 more source

The algebra generated by nilpotent elements in a matrix centralizer

, 2021
For an arbitrary square matrix $S$, denote by $C(S)$ the centralizer of $S$, and by $C(S)_N$ the set of all nilpotent elements in $C(S)$. In this paper, we use the Weyr canonical form to study the subalgebra of $C(S)$ generated by $C(S)_N$.
de la Cruz, Ralph John, Misa, Eloise
core   +1 more source

Brane webs and magnetic quivers for SQCD

Journal of High Energy Physics, 2020
It is widely considered that the classical Higgs branch of 4d N $$ \mathcal{N} $$ = 2 SQCD is a well understood object. However there is no satisfactory understanding of its structure.
Antoine Bourget, Santiago Cabrera, Julius F. Grimminger, Amihay Hanany, Zhenghao Zhong   +4 more
doaj   +1 more source

Uniform growth in small cancellation groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract An open question asks whether every group acting acylindrically on a hyperbolic space has uniform exponential growth. We prove that the class of groups of uniform uniform exponential growth acting acylindrically on a hyperbolic space is closed under taking certain geometric small cancellation quotients.
Xabier Legaspi, Markus Steenbock
wiley   +1 more source

A study on Nilpotent graph in genetic code algebra [PDF]

Network Biology
The genetic code is a set of codons that contains genetic information regarding the creation of protein molecules. We studied nilpotent graphs in genetic code algebra in this work.
Birinchi Kumar Boruah
doaj  

On the centralizer of the sum of commuting nilpotent elements

Journal of Pure and Applied Algebra, 2006
Let X and Y be commuting nilpotent K-endomorphisms of a vector space V, where K is a field of characteristic p >= 0. If F=K(t) is the field of rational functions on the projective line, consider the K(t)-endomorphism A=X+tY of V. If p=0, or if the (p-1)-st power of A is 0, we show here that X and Y are tangent to the unipotent radical of the ...
openaire   +3 more sources

A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source