Some remarks on the algebraic structure of the Medvedev Lattice

Some remarks on the algebraic structure of the Medvedev Lattice
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关于梅德韦杰夫格子代数结构的一些评论

DOI:
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发表时间:
1990
期刊:
Journal of Symbolic Logic (JSL)
影响因子:
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通讯作者:
A. Sorbi
A. Sorbi
中科院分区:
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文献类型:
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作者:
A. Sorbi

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摘要本文研究了Medvedev格的代数结构。我们证明了它不是一个Heyting代数。指出了Dyment格与Mučnik格之间的一些关系.研究了可枚举度的一些性质。我们还给出了一个结果嵌入可数分配格的梅德韦杰夫格。
Abstract This paper investigates the algebraic structure of the Medvedev lattice . We prove that is not a Heyting algebra. We point out some relations between and the Dyment lattice and the Mučnik lattice. Some properties of the degrees of enumerability are considered. We give also a result on embedding countable distributive lattices in the Medvedev lattice.