Results 271 to 280 of about 96,933 (288)

Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms

Linear and multilinear algebra, 2020
The aim of this work is to prove the existence and uniqueness of a core-nilpotent decomposition of finite potent endomorphisms on arbitrary vector spaces. This decomposition generalized the well-known core-nilpotent decomposition of complex -matrices. As
F. P. Romo
semanticscholar   +1 more source

Nilpotent Structures in Ergodic Theory

Mathematical Surveys and Monographs, 2018
Nilpotent Structures in Ergodic Theory Bernard Host, Université Paris-Est Marne-la-Vallée, Champssur-Marne, France, and Bryna Kra, Northwestern University, Evanston, IL Nilsystems play a key role in the structure theory of measure preserving systems ...
B. Host, Bryna Kra
semanticscholar   +1 more source

Varieties of nilpotent Lie superalgebras of dimension ≤ 5

, 2020
In this paper, we study the varieties of nilpotent Lie superalgebras of dimension ≤5{\leq 5}. We provide the algebraic classification of these superalgebras and obtain the irreducible components in every variety.
M. Alvarez, I. Hernández
semanticscholar   +1 more source

The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

Algebras and Representation Theory, 2019
We classify the complex 4-dimensional nilpotent bicommutative algebras from both algebraic and geometric approaches.
I. Kaygorodov, Pilar Páez-Guillán, Vasily Voronin   +2 more
semanticscholar   +1 more source

On Rigid 2-Step Nilpotent Lie Algebras

, 2018
In this note we consider 2-step nilpotent Lie algebras and give a criterion for the rigidity of this class in the variety Nn2 of 2-step nilpotent Lie algebras of dimension n.
M. Alvarez
semanticscholar   +1 more source

A (locally nilpotent)-by-nilpotent variety of groups

Mathematical Proceedings of the Cambridge Philosophical Society, 2002
Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.
openaire   +2 more sources

A characterization of nilpotent orbit closures among symplectic singularities

, 2016
We prove that a conical symplectic variety with maximal weight 1 is isomorphic to (i) an affine space with the standard symplectic form, or (ii) a normal nilpotent orbit closure of a complex semisimple Lie algebra.
Y. Namikawa
semanticscholar   +1 more source

The Algebraic and Geometric Classification of Nilpotent Assosymmetric Algebras

Algebras and Representation Theory, 2020
N. Ismailov, I. Kaygorodov, Farukh Mashurov   +2 more
semanticscholar   +1 more source

NILPOTENCY IN UNCOUNTABLE GROUPS

Journal of the Australian Mathematical Society, 2016
The main purpose of this paper is to investigate the behaviour of uncountable groups of cardinality $\aleph$ in which all proper subgroups of cardinality $\aleph$ are nilpotent. It is proved that such a group $G$ is nilpotent, provided that $G$ has no infinite simple homomorphic images and either $\aleph$ has cofinality strictly larger than $\aleph _{0}
De Giovanni, Francesco, Trombetti, Marco
openaire   +3 more sources

On the semigroup nilpotency and the Lie nilpotency of associative algebras

Mathematical Notes, 1997
To each associative ringR we can assign the adjoint Lie ringR(−) (with the operation(a,b)=ab−ba) and two semigroups, the multiplicative semigroupM(R) and the associated semigroupA(R) (with the operationaob=ab+a+b). It is clear that a Lie ringR(−) is commutative if and only if the semigroupM(R) (orA(R)) is commutative.
openaire   +2 more sources