The finiteness of co-associated primes of local homology modules

Kodai Mathematical Journal

Tran Tuan Nam¹ 

[1] Department of Mathematics-Informatics Ho Chi Minh University of Pedagogy

关键词: linearly compact module;    local homology;    local cohomology;    co-associated prime;    associated prime;   

DOI  :  10.2996/kmj/1162478769

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(19)Let M be a semi-discrete linearly compact module over a commutative noetherian ring R and i a non-negative integer. We show that the set of co-associated primes of the local homology R-module HiI (M) is finite in either of the following cases: (i) The R-modules HjI (M) are finite for all j < i; (ii) I ⊆ Rad(AnnR (HjI (M))) for all j < i. By Matlis duality we extend some results for the finiteness of associated primes of local cohomology modules HIi (M).

【 授权许可】

Unknown