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:: Volume 7, Issue 1 (Vol.7, No. 1, Spring 2021) ::
mr 2021, 7(1): 27-36 Back to browse issues page
Almost Uniserial Modules
Somayeh Hadjirezaei
Vali-e-Asr University of Rafsanjan, Department of Mathematics, Rafsanjan, Iran , s.hajirezaei@vru.ac.ir
Abstract:   (377 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
Keywords: Almost uniserial module, Torsionfree module, Fitting ideals, Unique factorization domain
Full-Text [PDF 534 kb]   (123 Downloads)    
Type of Study: Original Manuscript | Subject: alg
Received: 2018/01/13 | Accepted: 2019/02/27 | Published: 2021/05/31 | ePublished: 2021/05/31
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Hadjirezaei S. Almost Uniserial Modules. mr. 2021; 7 (1) :27-36
URL: http://mmr.khu.ac.ir/article-1-2728-en.html


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Volume 7, Issue 1 (Vol.7, No. 1, Spring 2021) Back to browse issues page
پژوهش‌های ریاضی Mathematical Researches
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