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Local cohomology of module of differentials of integral extensions
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-05-07 , DOI: 10.1016/j.jalgebra.2021.04.023 S.P. Dutta
中文翻译:
积分扩展微分模块的局部同调
更新日期:2021-05-11
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-05-07 , DOI: 10.1016/j.jalgebra.2021.04.023 S.P. Dutta
The main focus of this paper is on determining the highest non-vanishing local cohomology modules of where R is either a complete regular local ring or a complete local normal domain with coefficient ring V (field k) and B is its integral closure in an algebraic extension of . Similar problem is also studied over a normal domain R containing a field k of characteristic 0. In this connection new observations on the direct summand property for integral extensions are also presented.
中文翻译:
积分扩展微分模块的局部同调
本文的主要重点是确定最高无消失的局部同调模块 其中R是一个完整的规则局部环或一个具有系数环V(字段k)的完整局部正态域,而B是其在的代数扩展中的积分闭包。在包含特征为0的场k的正态域R上,也研究了类似的问题。在这方面,还提出了关于积分扩展的直接求和性质的新观察。