On the number of independent orders

On the number of independent orders
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关于独立订单的数量

DOI:
10.1016/j.apal.2020.102886
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发表时间:
2021
影响因子:
0.8
通讯作者:
Kota Takeuchi and Akito Tsuboi
Kota Takeuchi and Akito Tsuboi
中科院分区:
数学2区
文献类型:
--
作者:
Davaajav Jargalsaikhan;Diptarama Hendrian;Ryo Yoshinaka;Ayumi Shinohara;Kota Takeuchi and Akito Tsuboi

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研究了由Shelah引入的模型论不变量κ s rd m(T),证明了κ s rd m(T)是次可加的.如果k s r d m(T)的值为无穷大,则等式k s r d m(T)= k s r d 1(T)。我们用同样的证明方法分析了另一个不变量κ irdm(T),证明了它也是次可加的,改进了Shelah的结果.
We investigate the model-theoretic invariant κ s r d m (T), which was introduced by Shelah, and prove that κ s r d m (T) is sub-additive. An infinite value of κ s r d m (T) leads to the equality κ s r d m (T)= κ s r d 1 (T). We apply the same proof method to analyze the other invariant κ i r d m (T) and show that it is also sub-additive, achieving an improvement of Shelah's result.
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DOI: --
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发表时间: 2011
影响因子: 1.3
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期刊: Ann. Pure Appl. Log.
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