Algebraic Geometry Over Algebraic Structures. VI. Geometrical Equivalence

作者：Daniyarova E Yu^*; Myasnikov A G; Remeslennikov V N

来源：Algebra and Logic, 2017, 56(4): 281-294.

DOI：10.1007/s10469-017-9449-2

• universal algebraic geometry
• algebraic structure
• geometrical equivalence
• prevariety
• quasivariety

The present paper is one in our series of works on algebraic geometry over arbitrary algebraic structures, which focuses on the concept of geometrical equivalence. This concept signifies that for two geometrically equivalent algebraic structures and a"notsign of a language L, the classification problems for algebraic sets over and a"notsign are equivalent. We establish a connection between geometrical equivalence and quasiequational equivalence.

• 出版日期2017-9