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
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
收藏
页码:370 / 377
页数:8
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