Modules whith coprimary decomposition için kapak resmi
Modules whith coprimary decomposition
Başlık:
Modules whith coprimary decomposition
Yazar:
Tekin, Semra.
Yazar Ek Girişi:
Yayın Bilgileri:
[s.l.]: [s.n.], 2009.
Fiziksel Tanımlama:
vii, 38 leaves.: ill. + 1 computer laser optical disc.
Özet:
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.
Yazar Ek Girişi:
Tek Biçim Eser Adı:
Thesis (Master)--İzmir Institute of Technology:Mathematics.

İzmir Institute of Technology:Mathematics--Thesis (Master).
Elektronik Erişim:
Access to Electronic Version.
Ayırtma: Copies: