Level and Gorenstein projective dimension

被引：0
|
作者：
Awadalla, Laila [1 ]
Marley, Thomas [1 ]
机构：
[1] Univ Nebraska Lincoln, Lincoln, NE 68588 USA
来源：
JOURNAL OF ALGEBRA | 2022年 / 609卷
关键词：
Level; Derived category; Ghost lemma; Gorenstein projective; HOMOLOGY;
D O I：
10.1016/j.jalgebra.2022.06.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the relationship between the level of a bounded complex over a commutative ring with respect to the class of Gorenstein projective modules and other invariants of the complex or ring, such as projective dimension, Gorenstein projective dimension, and Krull dimension. The results build upon work done by J. D. Christensen [7], H. Altmann et al. [1], and Avramov et al. [4] for levels with respect to the class of finitely generated projective modules.(c) 2022 Elsevier Inc. All rights reserved.
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页码：606 / 618
页数：13
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