Algebraic Geometry over Free Metabelian Lie Algebra II: Finite Field Case

Simple item page
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 second in a series of three, the aim of which is to construct algebraic geometry over a free metabelian Lie algebra $F$. For the universal closure of free metabelian Lie algebra of finite rank $r \ge 2$ over a finite field $k$ we find a convenient set of axioms in the language of Lie algebras $L$ and the language $L_{F}$ enriched by constants from $F$. We give a description of: * The structure of finitely generated algebras from the universal closure of $F_r$ in both $L$ and $L_{F_r}$ * The structure of irreducible algebraic sets over $F_r $ and respective coordinate algebras. We also prove that the universal theory of a free metabelian Lie algebra over a finite field is decidable in both languages.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0710.3872
dc.identifierhttp://arxiv.org/abs/0710.3872
dc.identifierJournal of Mathematical Sciences, Volume 135, Number 5 / June, 2006, p. 3311-3326
dc.identifierdoi:10.1007/s10958-006-0160-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140456
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.titleAlgebraic Geometry over Free Metabelian Lie Algebra II: Finite Field Case
dc.typetext

Files

Collections

arXiv