Arithmetic of Finite Ordered Sets: Cancellation of Exponents, I

被引：0
|
作者：
Ralph McKenzie
机构：
[1] Vanderbilt University,Department of Mathematics
来源：
Order | 1999年 / 16卷
关键词：
cancellation of exponents; exponentiation; posets;
D O I：
暂无
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学科分类号：
摘要：
Garrett Birkhoff conjectured in 1942 that when A, B, P are finite posets satisfying AP ≅ BP, then A ≅ B. We show that this is true in case P is dismantlable to each of its points, or P is connected and each of A and B is dismantlable to each of its covering pairs.
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页码：313 / 333
页数：20
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