$${\aleph_{0}}$$ -categorical structures: endomorphisms and interpretations
$${\aleph_{0}}$$ -categorical structures: endomorphisms and interpretations
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$${aleph_{0}}$$ -分类结构：自同态和解释
DOI：
10.1007/s00012-011-0110-y
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发表时间：
2009
影响因子：
0.6
通讯作者：
Markus Junker
中科院分区：
文献类型：
--
作者：
M. Bodirsky;Markus Junker
我们扩展了范畴结构的可解释性的Ahlbrandt-Ziegler分析，证明了存在解释是由自嵌入的幺半群控制的，没有常数自同态的结构的正存在解释是由自同态的幺半群控制的，就像一般的可解释性是由自同构群控制的一样.
We extend the Ahlbrandt–Ziegler analysis of interpretability in $${\aleph_{0}}$$-categorical structures by showing that existential interpretation is controlled by the monoid of self–embeddings, and positive existential interpretation of structures without constant endomorphisms is controlled by the monoid of endomorphisms, in the same way as general interpretability is controlled by the automorphism group.