具有相同（代数）几何的代数
Algebras with the same (algebraic) geometry
摘要：
一些基本概念的经典代数几何可以定义在任意品种的代数$Θ.$对于每一个代数$H$在$Θ$一个可以考虑代数几何在$Θ$超过$ H.$相应地，代数在$Θ$被认为是重点方程和几何。我们给出了$Θ$中代数的几何性质和它们之间的几何关系的例子。本文考虑的主要问题是当不同的$H_1$和$H_2$具有相同的几何形状时。
英文摘要：
Some 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
