Algebras with the same (algebraic) geometry

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dc.creatorPlotkin, B.
dc.date2002-10-14
dc.date.accessioned2026-07-07T04:51:53Z
dc.date.available2026-07-07T04:51:53Z
dc.descriptionSome basic notions of classical algebraic geometry can be defined in arbitrary varieties of algebras $Θ.$ For every algebra $H$ in $Θ$ one can consider algebraic geometry in $Θ$ over $ H.$ Correspondingly, algebras in $Θ$ are considered with the emphasis on equations and geometry. We give examples of geometric properties of algebras in $Θ$ and of geometric relations between them. The main problem considered in the paper is when different $H_1$ and $H_2$ have the same geometry.
dc.description52 pages, cd.tex
dc.identifierhttps://arxiv.org/abs/math/0210194
dc.identifierhttp://arxiv.org/abs/math/0210194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65273
dc.subjectGeneral Mathematics
dc.subjectCategory Theory
dc.subject08A99, 18A99
dc.titleAlgebras with the same (algebraic) geometry
dc.typetext

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