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
收藏
页码：1425 / 1448
页数：24
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