Generalised stability of ultraproducts of finite residue rings

被引：0

作者：

Bello Aguirre, Ricardo Isaac ^{[1
]}

机构：

[1] Univ Leeds, Leeds, W Yorkshire, England

来源：

ARCHIVE FOR MATHEMATICAL LOGIC | 2021年 / 60卷 / 7-8期

关键词：

Pseudofinite residue rings; Generalised stability;

D O I：

10.1007/s00153-021-00760-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study ultraproducts of finite residue rings Pi(n is an element of N) Z/nZ/U where U is a nonprincipal ultrafilter. We find sufficient conditions of the ultrafilter U to determine if the resulting ultraproduct Pi(n is an element of N) Z/nZ/U has simple, NIP, NTP2 but not simple nor NIP, or TP2 theory, noting that all these four cases occur.

引用

页码：815 / 829

页数：15

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