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mmr 2021, 7(1): 27-36 |
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Hadjirezaei S. Almost Uniserial Modules. mmr 2021; 7 (1) :27-36
URL: http://mmr.khu.ac.ir/article-1-2728-en.html
URL: http://mmr.khu.ac.ir/article-1-2728-en.html
Vali-e-Asr University of Rafsanjan, Department of Mathematics, Rafsanjan, Iran , s.hajirezaei@vru.ac.ir
Abstract: (1521 Views)
An R-module M is called Almost uniserial module, if any two non-isomorphic submodules of M are linearly ordered by inclusion. In this paper, we investigate some properties of Almost uniserial modules. We show that every finitely generated Almost uniserial module over a Noetherian ring, is torsion or torsionfree. Also the construction of a torsion Almost uniserial modules whose first nonzero Fitting ideal is a product of maximal ideals, is invetigated and torsion Almost uniserial modules over an integral domain and a UFD are characterized../files/site1/files/71/3.pdf
Type of Study: Original Manuscript |
Subject:
alg
Received: 2018/01/13 | Revised: 2021/05/24 | Accepted: 2019/02/27 | Published: 2021/05/31 | ePublished: 2021/05/31
Received: 2018/01/13 | Revised: 2021/05/24 | Accepted: 2019/02/27 | Published: 2021/05/31 | ePublished: 2021/05/31
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