Notes on sublattice-lattices

被引:0
|
作者
Takách G. [1 ]
机构
[1] Jate Bolyai Institute Szeged, Aradi Vértanúk Tere 1
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.
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页码:215 / 224
页数:9
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