On the symmetric parts of finitely generated free lattices

被引：0
|
作者：
Gyenizse, G. [1 ]
机构：
[1] Univ Szeged, Bolyai Inst, Arad Vertanuk Tere 1, Szeged, Hungary
来源：
ACTA MATHEMATICA HUNGARICA | 2023年 / 169卷 / 02期
关键词：
lattice; free lattice; symmetrical terms; doubly prime; weakly atomic;
D O I：
10.1007/s10474-023-01316-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An element of finitely generated free lattices is called symmetricif it is fixed by all automorphisms of the lattice. We examine the lattice formedby these elements. It is known to be nonfinitely generated, and containing a sublatticeisomorphic to any finitely generated free lattice. We show that it is alsoweakly atomic, and prove two further statements regarding the doubly prime elementsof this lattice.
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页码：420 / 431
页数：12
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