2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65273Some 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.52 pages, cd.texGeneral MathematicsCategory Theory08A99, 18A99text