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.
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页码：237 / 241
页数：5
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