Projectivity of the free Banach lattice generated by a lattice

被引：4
|
作者：
Aviles, Antonio [1 ]
Rodriguez Abellan, Jose David [1 ]
机构：
[1] Univ Murcia, Dept Matemat, Campus Espinardo, E-30100 Murcia, Spain
来源：
ARCHIV DER MATHEMATIK | 2019年 / 113卷 / 05期
关键词：
Free Banach lattice; Lattice; Linear order; Projectivity;
D O I：
10.1007/s00013-019-01360-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the projectivity of the free Banach lattice generated by a lattice in two cases: when the lattice is finite, and when the lattice is an infinite linearly ordered set. We prove that in the first case, it is projective while in the second case, it is not.
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页码：515 / 524
页数：10
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