Results 101 to 110 of about 39,950 (199)

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

Nilpotent elements in group rings

open access: yesManuscripta Mathematica, 1975
The main theorem gives necessary and sufficient conditions for the rational group algebra QG to be without (nonzero) nilpotent elements if G is a nilpotent or F·C group. For finite groups G, a characterisation of group rings RG over a commutative ring with the same property is given.
openaire   +1 more source

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 NIL-SYMMETRIC RINGS AND MODULES SKEWED BY RING ENDOMORPHISM

open access: yesScience Journal of University of Zakho
The symmetric property plays an important role in non-commutative ring theory and module theory.  In this paper, we study the symmetric property with one element of the ring  and two nilpotent elements of  skewed by ring endomorphism  on rings ...
Ibrahim Mustafa, Chnar Abdulkareem Ahmed
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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