Results 101 to 110 of about 40,826 (196)

Rings in Which Every Quasi-nilpotent Element is Nilpotent

open access: yesTurkish 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

open access: yesIllinois 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

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

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Hermitian Characteristics of Nilpotent Elements

open access: yes, 2002
We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
openaire   +2 more sources

On Soft Near-Prime Int-Ideals and Soft 1-Absorbing Prime Int-Ideals With Applications

open access: yesJournal of Mathematics
In this study, we aimed to introduce two different generalizations of the soft prime int-ideal and clarify the relationships between the soft prime int-ideal and the substructures of a ring. First, we explored new algebraic features of the soft prime int-
İbrahim Halil Kanat, Filiz Çıtak
doaj   +1 more source

Nilpotent Elements of Vertex Algebras

open access: yes, 2011
Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent elements.
openaire   +2 more sources

Generalized Core-nilpotent Decomposition of Ring Elements

open access: yesIndian Journal of Pure and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Varkady, Savitha   +2 more
openaire   +2 more sources

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