Finiteness of associated primes of extension and torsion functors

被引：0
|
作者：
Merighe, L. C. [1 ]
机构：
[1] Univ Estadual Mato Grosso do Sul, Cidade Univ Dourados,Caixa Postal 351, BR-79804970 Dourados, MS, Brazil
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2023年 / 17卷 / 02期
关键词：
Ext and Tor functors; Associated primes; Cofinite modules; Serre subcategory; LOCAL COHOMOLOGY MODULES; COFINITE; IDEALS; RESPECT;
D O I：
10.1007/s40863-022-00322-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present work concerns the investigation of the structure of the functors Ext and Tor for modules that are not necessarily finitely generated over a commutative Noetherian ring. As a biproduct we show the finiteness of the set of the associated primes of these functors in some cases.
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页码：914 / 926
页数：13
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