Results 71 to 80 of about 19,998 (174)

Locally nilpotent groups of units in tiled rings

open access: yesJournal of Algebra, 2010
Let \(R\) be an Artinian local ring with maximal ideal \(\mathfrak m\). Assume that \(R/\mathfrak m\) is commutative and \(\mathfrak m/\mathfrak m^2\) central in \(R/\mathfrak m^2\). For a basic tiled \(R\)-algebra \(\Lambda\), every maximal locally nilpotent subgroup of \(\Lambda^\times\) is a maximal Engel subgroup.
Dokuchaev, M.   +2 more
openaire   +2 more sources

On universal and epi-universal locally nilpotent groups

open access: yesIllinois Journal of Mathematics, 2003
In this paper we mainly consider the class LN of all locally nilpotent groups. We first show that there is no universal group in LN_lambda if lambda is a cardinal such that lambda = lambda^{aleph_0}; here we call a group G universal (in LN_lambda) if any group H in LN_lambda can be embedded into G where LN_lambda denotes the class of all locally ...
Göbel, R., Shelah, S., Wallutis, S. L.
openaire   +4 more sources

Methods to compute ring invariants and applications: a new class of exotic threefolds

open access: yes, 2015
We develop some methods to compute the Makar-Limanov and Derksen invariants, isomorphism classes and automorphism groups for k-domains B, which are constructed from certain Russell k-domains.
Alhajjar, Bachar
core   +1 more source

Locally nilpotent derivations on affine surfaces with a $\C^*$-action

open access: yes, 2004
We give a classification of normal affine surfaces admitting an algebraic group action with an open orbit. In particular an explicit algebraic description of the affine coordinate rings and the defining equations of such varieties is given.
Flenner, Hubert, Zaidenberg, Mikhail
core   +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

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

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