Automorphism-primal algebras generate verbose varieties

被引：0
|
作者：
Clifford Bergman
机构：
[1] Iowa State University,Department of Mathematics
来源：
Algebra universalis | 2015年 / 74卷
关键词：
Primary: 08B15; Secondary: 08A30; 08C20; verbal congruence; fully invariant congruence; verbose; automorphism-primal; natural duality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A finite algebra is called automorphism-primal if its clone of term operations coincides with all operations that preserve its automorphisms. We prove that the variety generated by an automorphism-primal algebra is verbose, that is, on every member algebra, every fully invariant congruence is verbal. The proof is a nice application of the theory of natural dualities as developed by Davey et al.
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页码：117 / 122
页数：5
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