Algebraic geometry over algebraic structures X: Ordinal dimension

被引：0

作者：

Daniyarova, Evelina Yur'evna ^{[1
]}

Myasnikov, Alexei Georgievich ^{[2
]}

Remeslennikov, Vladimir Nikanorovich ^{[1
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia

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

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2018年 / 28卷 / 08期

关键词：

Partially ordered set; ordinal number; universal algebraic geometry; algebraic structure; irreducible algebraic set; coordinate algebra; Zariski dimension; radical dimension; Krull dimension; projective dimension;

D O I：

10.1142/S0218196718400039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is devoted to interpretation of concepts of Zariski dimension of an algebraic variety over a field and of Krull dimension of a coordinate ring in algebraic geometry over algebraic structures of an arbitrary signature. Proposed dimensions are ordinal numbers (ordinals).

引用

页码：1425 / 1448

页数：24

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