Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4055
Title: Modules whith coprimary decomposition
Authors: Pusat, Dilek
Tekin, Semra
Issue Date: 2009
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

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