On P-like ideals induced by disjoint families

被引：1
|
作者：
Marton, Adam [1 ]
Supina, Jaroslav [1 ]
机构：
[1] Pavol Jozef Safarik Univ Kosice, Inst Math, Jesenna 5, Kosice 04001, Slovakia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 02期
关键词：
Ideal; P-ideal; Disjoint families; CONVERGENCE; FILTERS;
D O I：
10.1016/j.jmaa.2023.127551
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a combinatorial property isolated in the field of ideal convergence, a P-property for two ideals on natural numbers. We show that among selected ideals induced by disjoint families, not all pairs satisfy the P-property for two ideals. In many cases we specify the inducing partitions for which the corresponding ideals possess the property. Regarding selector ideals, a useful coloring-like necessary condition is provided.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：23
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