On the utility of Robinson-Amitsur ultrafilters. II

被引：2

作者：

Zusmanovich, Pasha ^{[1
]}

机构：

[1] Univ Ostrava, Dept Math, Ostrava, Czech Republic

来源：

JOURNAL OF ALGEBRA | 2016年 / 466卷

关键词：

Subdirect irreducibility; Direct product; Ultraproduct; kappa-complete ultrafilter; Variety; DIRECT-PRODUCT ALGEBRAS; HOMOMORPHISMS;

D O I：

10.1016/j.jalgebra.2016.07.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the result of the previous paper under the same title about embedding of ideal-determined algebraic systems into ultraproducts, to arbitrary algebraic systems, and to ultraproducts over kappa-complete ultrafilters. We also discuss the scope of applicability of this result, and correct a mistake from the previous paper concerning homomorphisms from ultraproducts. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：370 / 377

页数：8

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