Polynomial clones on groups of order pq

被引：22

作者：

Aichinger, E. ^{[1
]}

Mayr, P. ^{[1
]}

机构：

[1] Johannes Kepler Univ Linz, Inst Algebra, A-4040 Linz, Austria

来源：

ACTA MATHEMATICA HUNGARICA | 2007年 / 114卷 / 03期

关键词：

Mal'cev clones; polynomial functions; polynomial completeness; commutator theory;

D O I：

10.1007/s10474-006-0530-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For two distinct primes p, q, we describe those clones on a set of size pq that contain a given group operation and all constant operations. We show that each such clone is determined by congruences and commutator relations. Thus we obtain that there is only a finite number of such clones on a fixed set.

引用

页码：267 / 285

页数：19

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