Results 131 to 140 of about 1,062 (223)
Rings in Which Every Quasi-nilpotent Element is Nilpotent
Turkish Journal of Mathematics and Computer ScienceA 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
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Degenerations of nilpotent Lie algebras
, 1999 . In this paper we study degenerations of nilpotent Lie algebras. If ; ¯ are two points in the variety of nilpotent Lie algebras, then is said to degenerate to ¯ , ! deg ¯ , if ¯ lies in the Zariski closure of the orbit of .
Variety Hom +2 more
core
On reachable elements and the boundary of nilpotent orbits in simple Lie algebras
, 2004 Let g be a simple Lie algebra. An element x∈g is said to be reachable, if it is contained in the commutant of its centraliser. Any reachable element is necessarily nilpotent.
Panyushev, Dmitri I., Panyushev, D.
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
europepmc +1 more source
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 ...
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On a Property of Nilpotent Groups
, 1994 Let g be an element of a group G and [g, G] = 〈g-1a-1ga | a ∊ G〉. We prove that if G is locally nilpotent then for each g,t ∊ G either g[g, G] = t[t, G] or g[g, G] ∩ t[t, G] = Ø. The converse is true if G is finite.
Michael Dokuchaev
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On sufficient density conditions for lattice orbits of relative discrete series. [PDF]
Arch Math, 2022 Enstad U, van Velthoven JT.
europepmc +1 more source
Al-Rafidain Journal of Computer Sciences and Mathematics, 2022 Muayad Mohammed Noor Alali +1 more
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Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Ann Mat Pura Appl, 2022 Antonelli G, Le Donne E.
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An algebraic characterization of self-generating chemical reaction networks using semigroup models. [PDF]
J Math Biol, 2023 Loutchko D.
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