Examples of finite free complexes of small rank and small homology
Examples of finite free complexes of small rank and small homology
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DOI：
10.4310/acta.2018.v221.n1.a4
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发表时间：
2017-06
期刊：
影响因子：
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通讯作者：
S. Iyengar;M. Walker
中科院分区：
文献类型：
--
作者：
S. Iyengar;M. Walker
这项工作涉及有限的自由复交换诺特环，特别是在群代数的基本交换群。主要贡献是建设复合物，使总秩的基本自由模块，或总长度的同源性，是小于预测的各种progratures在理论的变换群和局部代数。
This work concerns finite free complexes over commutative noetherian rings, in particular over group algebras of elementary abelian groups. The main contribution is the construction of complexes such that the total rank of their underlying free modules, or the total length of their homology, is less than predicted by various conjectures in the theory of transformation groups and in local algebra.