Modules whith coprimary decomposition
tarafından
Tekin, Semra.
Başlık
:
Modules whith coprimary decomposition
Yazar
:
Tekin, Semra.
Yazar Ek Girişi
:
Tekin, Semra.
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.
Konu Başlığı
:
Modules(Algebra)
Decomposition(Mathematics)
Artin algebras.
Yazar Ek Girişi
:
Yılmaz Pusat, Dilek.
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (Master)--İzmir Institute of Technology:Mathematics.
İzmir Institute of Technology:Mathematics--Thesis (Master).
Elektronik Erişim
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
---|
IYTE Library | Tez | T000202 | QA247 .T266 2009 | Tez Koleksiyonu |