Quasivariety Lattices of Pointed Abelian Groups

被引：0
|
作者：
A. M. Nurakunov
机构：
[1] National Academy of Science of the Kyrgyz Republic,Institute of Theoretical and Applied Mathematics
来源：
Algebra and Logic | 2014年 / 53卷
关键词：
quasivariety of algebras; pointed Abelian group; congruence; congruence lattice; quasivariety lattice; Birkhoff–Mal’tsev problem; uncomputable set;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a description of quasicritical pointed Abelian groups. It is proved that the quasivariety lattice of pointed Abelian groups is Q-universal. We construct a quasivariety lattice of pointed Abelian groups whose set of finite sublattices is uncomputable. It is shown that there exists a continuum of such lattices of quasivarieties.
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页码：238 / 257
页数：19
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