More Sublattices of the Lattice of Local Clones

Michael Pinsker

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More Sublattices of the Lattice of Local Clones

机译：局部克隆格的更多子格

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摘要

We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at most countably many compact elements as complete sublattices, but that the class of lattices embeddable into the local clone lattice is strictly larger than that: For example, the lattice M_(2ω) is a sublattice of the local clone lattice.

机译：我们调查了无数个无限基集上局部克隆的晶格的复杂性。特别是，我们证明了该晶格包含所有代数晶格，其中最多有许多紧密元素作为完整的子晶格，但是可嵌入到局部克隆晶格中的晶格类别严格大于：是局部克隆晶格的子晶格。

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来源
《Order》 |2010年第3期|p.353-364|共12页
作者
Michael Pinsker;
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作者单位

Laboratoire de Mathematiques Nicolas Oresme, CNRS UMR 6139, Universite de Caen, 14032 Caen Cedex, France;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
clone; local closure; algebraic lattice; embedding;

机译：克隆;本地关闭;代数晶格嵌入;

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1. More Sublattices of the Lattice of Local Clones [J] . Michael Pinsker Order . 2010,第3期

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5. Determination of quadratic lattices by local structure and sublattices of codimension one. [D] . Meyer, Nicolas D. 2015

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7. More sublattices of the lattice of local clones [O] . Pinsker, Michael 2010

机译：局部克隆晶格的更多子晶格

More Sublattices of the Lattice of Local Clones

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