Results 41 to 50 of about 1,530 (213)
Amalgamated rings with m-nil clean properties
Ratio Mathematica, 2023 In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which every element is a sum of a nilpotent and an $m$-potent elements) to the amalgamarted rings.
Vijayanand Venkatachalam +1 more
doaj +1 more source
Unit-Regularity of Regular Nilpotent Elements [PDF]
Algebras and Representation Theory, 2016 In the revision some typos are corrected, minor modifications are made and also references to two related papers are added.
openaire +3 more sources
Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution [PDF]
, 2022 In this paper, we study ad-nilpotent elements of semiprime rings R with involution * whose indices of ad-nilpotence differ on Skew(R,*) and R. The existence of such an ad-nilpotent element a implies the existence of a GPI of R, and determines a big part ...
Gómez-Lozano, Miguel Ángel +4 more
core +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Representatives for unipotent classes and nilpotent orbits [PDF]
, 2022 Let G be a simple algebraic group over an algebraically closed field k of characteristic p. The classification of the conjugacy classes of unipotent elements of G(k) and nilpotent orbits of G on Lie(G) is well-established.
Thomas, Adam +5 more
core +1 more source
Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
doaj +1 more source
The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
On nilpotent elements and locally nilpotent ideals
, 2017 經由2-primal ring及NI ring的拓撲結構，我們研究一種新的類型的環，滿足所有冪零元形成一個局部冪零理想，並稱之為NL ring。本文首先介紹NL ring的基本性質，接著研究NL ring和局部強質理想之間的關係，最後，探討NL ring下的拓樸結構。Motivated by 2-primal rings, NI rings and their associated topological structures, we consider a new class of rings, NL ...
李詔琦, Lee, Shao-Chi
core +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