Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4055
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dc.contributor.advisorPusat, Dileken
dc.contributor.authorTekin, Semra-
dc.date.accessioned2014-07-22T13:53:05Z-
dc.date.available2014-07-22T13:53:05Z-
dc.date.issued2009en
dc.identifier.urihttp://hdl.handle.net/11147/4055-
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009en
dc.descriptionIncludes bibliographical references (leaves: 36-37)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionvii, 38 leavesen
dc.description.abstractThis thesis presents the theory of coprimary decomposition of modules over a commutative noetherian ring and its coassociated prime ideals. This theory is first introduced in 1973 by I. G. Macdonald as a dual notion of an important tool of associated primes and primary decomposition in commutative algebra. In this thesis, we studied the basic properties of coassociated prime ideals to a module M and gathered some modules in the literature which have coprimary decomposition. For example, we showed that artinian modules over commutative rings are representable. Moreover if R is a commutative noetherian ring, then we showed that injective modules over R are representable. Finally, we discussed the uniqueness properties of coprimary decomposition.en
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA247 .T266 2009en
dc.subject.lcshModules (Algebra)en
dc.subject.lcshDecomposition (Mathematics)en
dc.subject.lcshArtin algebrasen
dc.titleModules whith coprimary decompositionen_US
dc.typeMaster Thesisen_US
dc.institutionauthorTekin, Semra-
dc.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeMaster Thesis-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.cerifentitytypePublications-
item.languageiso639-1en-
Appears in Collections:Master Degree / YĆ¼ksek Lisans Tezleri
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