Finitely generated maximal partial clones and their intersections

被引：3
|
作者：
Couceiro, Miguel [1 ]
Haddad, Lucien [2 ]
机构：
[1] Univ Luxembourg, Math Res Unit, 6 Rue Richard Coudenhove Kalergi, L-1359 Luxembourg, Luxembourg
[2] Royal Mil Coll Canada, Kingston, ON K7K 7B4, Canada
来源：
40TH IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC ISMVL 2010 | 2010年
关键词：
D O I：
10.1109/ISMVL.2010.31
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Let A be a finite non-singleton set. For |A| = 2 we show that the partial clone consisting of all self-dual monotonic partial functions on A is not finitely generated, while it is the intersection of two finitely generated maximal partial clones on A. Moreover, for |A| >= 3 we show that there are pairs of finitely generated maximal partial clones whose intersection is a not finitely generated partial clone on A.
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页码：122 / 127
页数：6
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