Algebraic Geometry over Free Metabelian Lie Algebra I: U-Algebras and Universal Classes

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dc.creatorDaniyarova, E.
dc.creatorKazachkov, I.
dc.creatorRemeslennikov, V.
dc.date2007-10-20
dc.date.accessioned2026-07-07T08:37:36Z
dc.date.available2026-07-07T08:37:36Z
dc.descriptionThis paper is the first in a series of three, the aim of which is to lay the foundations of algebraic geometry over the free metabelian Lie algebra $F$. In the current paper we introduce the notion of a metabelian Lie $U$-algebra and establish connections between metabelian Lie $U$-algebras and special matrix Lie algebras. We define the $Δ$-localisation of a metabelian Lie $U$-algebra $A$ and the direct module extension of the Fitting's radical of $A$ and show that these algebras lie in the universal closure of $A$.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0710.3871
dc.identifierhttp://arxiv.org/abs/0710.3871
dc.identifierJournal of Mathematical Sciences, Volume 135, Number 5 / June, 2006, p 3292-3310
dc.identifierdoi:10.1007/s10958-006-0159-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140455
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.titleAlgebraic Geometry over Free Metabelian Lie Algebra I: U-Algebras and Universal Classes
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