Notes on sublattice-lattices

被引：0

作者：

Takách G. ^{[1
]}

机构：

[1] Jate Bolyai Institute Szeged, Aradi Vértanúk Tere 1

来源：

Periodica Mathematica Hungarica | 1997年 / 35卷 / 3期

关键词：

Direct product; Homogeneous prime sublattice; Lattice; Splitting lattice; Sublattice-lattice;

D O I：

10.1023/A:1004509602086

中图分类号：

学科分类号：

摘要：

We prove that directly reducible lattices and selfdual subdirectly irreducible lattices of locally finite length are determined by their sublattice-lattices. As a corollary we obtain that splitting varieties are closed under the isomorphism of sublattice-lattices iff they are selfdual. A class of selfdual non-closed varieties is given too. © Akadémiai Kiadó, Budapest.

引用

页码：215 / 224

页数：9

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