Results 61 to 70 of about 1,062 (223)

On Strongly SITN Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
An element is considered as a strongly SITN, if it is the sum of idempotent, tripotent and a nilpotent, that commute with one another. A ring R is referred to be SITN ring if each member of R is a strongly SITN.
Rafal Dhanoon, Nazar Shuker
doaj   +1 more source

Quasi Centralizers and Inner Derivations in a Closed Ideal of a Complex Banach Algebra [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2004
In this paper we show that, for an ideal J of a unital complex Banach algebra A, we have (i) under certain conditions the ? -quasi centralizer, the quasi centralizer, and the centralizer of J are all identical, and so they are subsets of the ?
As'ad Y. As'ad
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Regular Nilpotent Elements and Quantum Groups [PDF]

Communications in Mathematical Physics, 1999
23 pages, LaTeX ...
openaire   +2 more sources

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Nilpotent Elements in Lie Algebras

Journal of Algebra, 1990
A classical result of \textit{Fine} and \textit{Herstein} is that the number of n by n nilpotent matrices with entries in GF(q) is a power of q, that power being \(n^ 2-n\). Kaplansky formulates an analogous problem in Lie algebras as follows: For a simple Lie algebra L of n by n matrices with entries from a field of q elements, is the number of ...
openaire   +1 more source

On nilpotent elements of skew polynomial rings

Journal of Mathematical Extension, 2012
Summary: We study the structure of the set of nilpotent elements in skew polynomial ring \(R[x;\alpha]\), when \(R\) is an \(\alpha\)-Armendariz ring. We prove that if \(R\) is a nil \(\alpha\)-Armendariz ring and \(\alpha^t=I_R\), then the set of nilpotent elements of \(R\) is an \(\alpha\)-compatible subring of \(R\).
J. Esmaeili, E. Hashemi
openaire   +3 more sources

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Solvable assosymmetric rings are nilpotent

, 1977
Assosymmetric rings are ones which satisfy the law ( x , y , z ) = ( P ( x ) , P ( y ) , P ( z ) )
David Pokrass, David Rodabaugh
core   +1 more source

Domination in the entire nilpotent element graph of a module over a commutative ring

, 2021
Let R be a commutative ring with unity and M be a unitary R module. Let Nil(M) be the set of all nilpotent elements of M. The entire nilpotent element graph of M over R is an undirected graph E(G(M)) with vertex set as M and any two distinct vertices x ...
Goswami, Jituparna, Shabani, Masoumeh
core   +1 more source