论模块类别的可拓维度

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190681

Yeyang Peng, Tiwei Zhao

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引用次数: 1

摘要

设Λ为一个Artin代数，并对Λ的有限生成权Λ-modules的范畴进行建模。证明了Λ的根层长度是mod Λ的根层长度的上界。根据一类简单权Λ-modules的内射维数和DΛ的根层长度，给出了mod Λ的扩展维数的上界。

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On the extension dimension of module categories

Let Λ be an Artin algebra and mod Λ the category of finitely generated right Λ-modules. We prove that the radical layer length of Λ is an upper bound for the radical layer length of mod Λ. We give an upper bound for the extension dimension of mod Λ in terms of the injective dimension of a certain class of simple right Λ-modules and the radical layer length of DΛ.

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