Volume 11, Issue 4 (2-2026)
mmr 2026, 11(4): 156-167 |
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Hatamkhani M. The local-global principle for generalized local homology modules. mmr 2026; 11 (4) :156-167
URL: http://mmr.khu.ac.ir/article-1-3456-en.html
URL: http://mmr.khu.ac.ir/article-1-3456-en.html
Arak University , m-hatamkhani@araku.ac.ir
Abstract: (155 Views)
Let R be a commutative noetherian ring and I be an ideal of R. The aim of this paper is to establish the local-global principle for the generalized local homology modules a_I(M,N), where a_I(M,N) is the smallest integer such that the generalized local homology module of M,N is not artinian. For a finitely generated R- module M and a linearly compact R-module N with the set CoassR(HI_aI (M;N)(M;N)) finite, we show that aI (M;N) = inffaIRp (Mp;p N)jp 2 Spec(R)g:
Type of Study: Original Manuscript |
Subject:
alg
Received: 2025/08/19 | Revised: 2026/02/26 | Accepted: 2026/01/1 | Published: 2026/02/26 | ePublished: 2026/02/26
Received: 2025/08/19 | Revised: 2026/02/26 | Accepted: 2026/01/1 | Published: 2026/02/26 | ePublished: 2026/02/26
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