Results 101 to 110 of about 96,933 (288)
Journal of Algebra, 2005 AbstractMotivated by Grzeszczuk's paper [P. Grzeszczuk, On nilpotent derivations of semiprime rings, J. Algebra 149 (1992) 313–321], we give a detailed analysis of nilpotent derivations of semiprime rings. With this, many known results can be either generalized or deduced.
Chuang, Chen-Lian, Lee, Tsiu-Kwen
openaire +1 more source
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6
Advances in Mathematical Physics, 2021 In this paper, we classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank less than or equal to 6 over an algebraically closed field of characteristic zero.
Shuang Lang, Jizhu Nan, Wende Liu
doaj +1 more source
On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation [PDF]
, 2015 It is shown that over an arbitrary field there exists a nil algebra $R$ whose adjoint group $R^{o}$ is not an Engel group. This answers a question by Amberg and Sysak from 1997 [5] and answers related questions from [3, 44].
A. Smoktunowicz
semanticscholar +1 more source
Nilpotent groups are round [PDF]
Israel Journal of Mathematics, 2008 We define a notion of roundness for finite groups. Roughly speaking, a group is round if one can order its elements in a cycle in such a way that some natural summation operators map this cycle into new cycles containing all the elements of the group. Our main result is that this combinatorial property is equivalent to nilpotence.
Daniel Berend +2 more
openaire +3 more sources
Simple closed curves, non‐kernel homology and Magnus embedding
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley +1 more source
First order linear ordinary differential equations in associative algebras
Electronic Journal of Differential Equations, 2004 In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
doaj
Exact nilpotent nonperturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge [PDF]
, 2015 We point out the existence of a nonperturbative exact nilpotent BRST symmetry for the Gribov-Zwanziger action in the Landau gauge. We then put forward a manifestly BRST invariant resolution of the Gribov gauge fixing ambiguity in the linear covariant ...
M. Capri +9 more
semanticscholar +1 more source
Nilpotence and local nilpotence of linear groups
Linear Algebra and its Applications, 1976 AbstractLet GL(n,F) denote the general linear group over a commutative field F. It is well known that locally solvable subgroups of GL(n,F) are always solvable, but in general locally nilpotent subgroups need not always be nilpotent. The object of the present paper is to clarify this situation. For each odd prime p, let Fp be a splitting field for Xp −
openaire +2 more sources
Schur finiteness and nilpotency [PDF]
Comptes Rendus. Mathématique, 2005 Let A be a Q-linear pseudo-abelian rigid tensor category. A notion of finiteness due to Kimura and (independently) O'Sullivan guarantees that the ideal of numerically trivial endomorphism of an object is nilpotent. We generalize this result to special Schur-finite objects.
A. Del Padrone, C. Mazza
openaire +4 more sources