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Title: | Modules whith coprimary decomposition | Authors: | Tekin, Semra | Advisors: | Pusat, Dilek | Publisher: | Izmir Institute of Technology | Abstract: | This 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. | Description: | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009 Includes bibliographical references (leaves: 36-37) Text in English; Abstract: Turkish and English vii, 38 leaves |
URI: | http://hdl.handle.net/11147/4055 |
Appears in Collections: | Master Degree / YĆ¼ksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
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T000202.pdf | MasterThesis | 255.66 kB | Adobe PDF | View/Open |
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