局部有限\(p\) -群的格通用性

Q3 Mathematics
Vladimir B. Repnitskiǐ
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引用次数: 0

摘要

对于任意素数\(p\),我们证明了每一个代数格都同构于一个合适的局部有限\(p\) -群的子群格中的一个完全子格。特别地,每个格都可嵌入到一个局部有限的\(p\) -群的子群格中。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS
For an arbitrary prime \(p\), we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite \(p\)-group. In particular, every lattice is embeddable in the subgroup lattice of a locally finite \(p\)-group.
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来源期刊
Ural Mathematical Journal
Ural Mathematical Journal Mathematics-Mathematics (all)
CiteScore
1.30
自引率
0.00%
发文量
12
审稿时长
16 weeks
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