Conditions satisfied by clone lattices

被引：3

作者：

Bulatov, AA ^{[1
]}

机构：

[1] Ural State Univ, Dept Algebra & Discr Math, Ekaterinburg 620083, Russia

来源：

ALGEBRA UNIVERSALIS | 2001年 / 46卷 / 1-2期

关键词：

clone; lattice; quasy-identity;

D O I：

10.1007/PL00000340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any k greater than or equal to 4 the clone lattice L-k on a k-element set contains any finite lattice as a sublattice. This means in particular that L-k, does not satisfy any nontrivial lattice identity or quasi-identity. We exhibit two conditions looking like "infinite quasi-identities" that are satisfied by every clone lattice on a finite set.

引用

页码：237 / 241

页数：5

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