戈伦斯坦扁平预封套

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2015-10-01 DOI:10.18910/57638

A. Iacob

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引用次数: 3

摘要

我们考虑一个双面诺瑟环R，使得Gorenstein内射左R-模的特征模是Gorenstein平右R-模。然后证明了Gorenstein平面右r模类是预包络的。我们还证明了右R模的Gorenstein平面配合物在Ch(R)中是预先发展的。在本文的第二部分，我们给出了一些环的例子，这些环具有Gorenstein内射模的特征模是G或nstein平的性质。证明了任意边noether环R < 1具有期望性质。我们还证明了ifR是一个具有对偶双模RVR的双面诺瑟环，且对于某正整数n, r是左n-完全的，则Gorenstein内射模的特征模是Gorenstein平的。

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Gorenstein Flat Preenvelopes

We consider a two sided noetherian ring R such that the character modules of Gorenstein injective leftR-modules are Gorenstein flat right R-modules. We then prove that the class of Gorenstein flat right R-modules is preenveloping. We also show that the class of Gorenstein flat complexes of right R-modules is preenevloping in Ch(R). In the second part of the paper we give examples of rings with t he property that the character modules of Gorenstein injective modules are G or nstein flat. We prove that any two sided noetherian ring R with i.d.Rop R < 1 has the desired property. We also prove that ifR is a two sided noetherian ring with a dualizing bimodule RVR and such thatR is left n-perfect for some positive integer n, then the character modules of Gorenstein injective modules are Gorenstein flat .

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.