cohen-macaulay环上的上同调维数

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B190165

Iraj Bagheriyeh, K. Bahmanpour, G. Ghasemi

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引用次数: 0

摘要

设(R,m)为noether局部Cohen-Macaulay环，I为R的真理想，设βR(I, R)表示深度R(R/I n)在n 0时的常数值。本文引入了新概念γR(I, R)，并证明了以下不等式:βR(I, R)≤γR(I, R)≤dimR - cd(I, R)≤dimR/I。此外，还将包括这些不等式的一些应用。

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A NOTE ON COHOMOLOGICAL DIMENSION OVER COHEN-MACAULAY RINGS

Let (R,m) be a Noetherian local Cohen-Macaulay ring and I be a proper ideal of R. Assume that βR(I, R) denotes the constant value of depthR(R/I n) for n 0. In this paper we introduce the new notion γR(I, R) and then we prove the following inequalities: βR(I, R) ≤ γR(I, R) ≤ dimR− cd(I, R) ≤ dimR/I. Also, some applications of these inequalities will be included.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).