Local homology and Serre categories

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2019-12-17 DOI:10.4467/20843828am.19.001.12109

Zahra Barqsouz, S. O. Faramarzi

引用次数: 0

Abstract

We show some results about local homology modules when they are in a Serre subcategory of the category of R-modules. For an ideal a of R, we also define the concept of the condition C on a Serre category, which seems dual to the condition Ca in Melkersson [1]. As a main result we show that for an Artinian R-module M and any Serre subcategory S of the category of R-modules and a non-negative integer s, HomR(R/a,H a s(M)) ∈ S if Hi (M) ∈ S for all i > s.

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局部同源性与Serre范畴

当局部同调模在R-模范畴的Serre子范畴中时，我们给出了一些结果。对于R的理想a，我们还定义了Serre范畴上条件C的概念，它似乎是Melkersson[1]中条件Ca的对偶。作为一个主要结果，我们证明了对于一个Artinian R-模M和R-模范畴的任何Serre子范畴S以及一个非负整数S，HomR（R/a，H，As（M））∈S如果Hi（M）∈S对于所有i>S。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.