Results 101 to 110 of about 2,773,140 (200)

The nilpotent regular element problem

, 2015
We use George Bergman's recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element $x$ need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent ...
Ara, P., O'Meara, K. C.
openaire   +2 more sources

Support Varieties and Nilpotent Elements for Simple Lie Algebras

, 2004
Support Varieties and Nilpotent Elements for Simple Lie ...
Nakano, Daniel K.
core   +1 more source

On the nilpotent elements of semigroups [PDF]

Colloquium Mathematicum, 1972
Hoo, Cheong-Seng, Shum, Kar-Ping
openaire   +2 more sources

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

J Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Rings in Which Every Quasi-nilpotent Element is Nilpotent

Turkish Journal of Mathematics and Computer Science
A ring \( R \) is called a QN-ring if \( R \) satisfies the equation \( Q(R) = N(R) \). In this paper, we present some fundamental properties of the class of QN-rings. It is shown that for \( R \) being a 2-primal (nil-semicommutative) ring, \( R \) is a QN-ring if and only if \( Q(R) \) is a nil ideal; if \( R \) is a QN-ring, then \( R/J(R) \) is
openaire   +2 more sources

Nilpotent elements in Grothendieck rings

Illinois Journal of Mathematics, 1988
Let \(M_ 1,...,M_ n\) be isomorphism classes of finitely presented modules over a commutative ring R. One forms the ring \({\mathbb{Z}}[M_ 1,...,M_ n]\) with \(\oplus\) and \(\otimes\) as addition and multiplication, and with the obvious relations. It is shown that if M and N are locally isomorphic, then there is an integer n, depending on M, N and R ...
openaire   +3 more sources

Solvable Lie A-algebras. [PDF]

, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
core   +1 more source

An algebraic characterization of self-generating chemical reaction networks using semigroup models. [PDF]

J Math Biol, 2023
Loutchko D.
europepmc   +1 more source

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core   +1 more source

On sufficient density conditions for lattice orbits of relative discrete series. [PDF]

Arch Math, 2022
Enstad U, van Velthoven JT.
europepmc   +1 more source