Algebraic Geometry Over Algebraic Structures. VI. Geometrical Equivalence

被引：3

作者：

Daniyarova, E. Yu. ^{[1
]}

Myasnikov, A. G. ^{[2
]}

Remeslennikov, V. N. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Ul Pevtsova 13, Omsk 644099, Russia

[2] Stevens Inst Technol, Dept Math Sci, Schaefer Sch Engn & Sci, Hoboken, NJ 07030 USA

来源：

ALGEBRA AND LOGIC | 2017年 / 56卷 / 04期

关键词：

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

D O I：

10.1007/s10469-017-9449-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：281 / 294

页数：14

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