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The Nakayama Property of a Module and Related Concepts
Stockholm University, Faculty of Science, Department of Mathematics.
2015 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 43, no 12, 5131-5140 p.Article in journal (Refereed) Published
Abstract [en]

Three related properties of a module are investigated in this article, namely the Nakayama property, the Maximal property, and the S-property. A module M has the Nakayamapropertyif aM=M for an ideal a implies that sM=0 for some s∈a+1. A module M has the Maximal property if there is in M a maximal proper submodule, and finally, M is said to have the S-property if S^{−1}M = 0 for a multiplicatively closed set S implies that sM=0 for some s∈S. 

Place, publisher, year, edition, pages
2015. Vol. 43, no 12, 5131-5140 p.
Keyword [en]
Nakayama property, maximal property, module
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Research subject
URN: urn:nbn:se:su:diva-119935DOI: 10.1080/00927872.2014.958849ISI: 000361540800008OAI: diva2:849524
Available from: 2015-08-28 Created: 2015-08-28 Last updated: 2015-10-26Bibliographically approved

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Gottlieb, Christian
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