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Injective Classes Of Modules
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2013 (English)In: Journal of Algebra and its Applications, ISSN 0219-4988, E-ISSN 1793-6829, Vol. 12, no 4, 1250188- p.Article in journal (Refereed) Published
Abstract [en]

We study classes of modules over a commutative ring which allow to do homological algebra relative to such a class. We classify those classes consisting of injective modules by certain subsets of ideals. When the ring is Noetherian the subsets are precisely the generization closed subsets of the spectrum of the ring.

Place, publisher, year, edition, pages
2013. Vol. 12, no 4, 1250188- p.
Keyword [en]
Injective classes, relative resolutions, smashing subcategories, localizing subcategories, Noetherian ring
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-121599DOI: 10.1142/S0219498812501885ISI: 000316952300007Scopus ID: 2-s2.0-84875027416OAI: oai:DiVA.org:kth-121599DiVA: diva2:619639
Funder
Swedish Research Council, 2009-6102
Note

QC 20130506

Available from: 2013-05-06 Created: 2013-05-03 Last updated: 2017-12-06Bibliographically approved

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