Please use this identifier to cite or link to this item:
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
Appears in Collections:Master Degree / YĆ¼ksek Lisans Tezleri

Files in This Item:
File Description SizeFormat 
T000202.pdfMasterThesis255.66 kBAdobe PDFThumbnail
Show full item record

CORE Recommender

Page view(s)

checked on May 20, 2024


checked on May 20, 2024

Google ScholarTM


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.