Başlık:

Homological objects of proper classes generated by simple modules

Yazar:

Durğun, Yılmaz, author.

Yazar Ek Girişi:

Fiziksel Tanımlama:

ix, 72 leaves:+ 1 computer laser optical disc.

Özet:

The main purpose of this thesis is to study some classes of modules determined by neat, coneat and s-pure submodules. A right R-module M is called neat-flat (resp. coneat-flat) if the kernel of any epimorphism Y → M → 0 is neat (resp. coneat) in Y. A right R-module M is said to be absolutely s-pure if it is s-pure in every extension of it. If R is a commutative Noetherian ring, then R is C-ring if and only if coneat-flat modules are flat. A commutative ring R is perfect if and only if coneat-flat modules are projective. R is a right Σ -CS ring if and only if neat-flat right R-modules are projective. R is a right Kasch ring if and only if injective right R-modules are neat-flat if and only if the injective hull of every simple right R-module is neat-flat. If R is a right N-ring, then R is right Σ -CS ring if and only if pure-injective neat-flat right R-modules are projective if and only if absolutely s-pure left R-modules are injective and R is right perfect. A domain R is Dedekind if and only if absolutely s-pure modules are injective. It is proven that, for a commutative Noetherian ring R, (1) neat-flat modules are flat if and only if absolutely s-pure modules are absolutely pure if and only if R A × B, wherein A is QF-ring and B is hereditary; (2) neat-flat modules are absolutely s-pure if and only if absolutely s-pure modules are neat-flat if and only if R A × B, wherein A is QF-ring and B is Artinian with J2(B) = 0.

Yazar Ek Girişi:

Tüzel Kişi Ek Girişi:

Tek Biçim Eser Adı:

Thesis (Doctoral)--İzmir Institute of Technology:Mathematics.

İzmir Institute of Technology:Mathematics--Thesis (Doctoral).

Elektronik Erişim:

Access to Electronic Versiyon.Copies:

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Kütüphane | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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Arıyor... | Tez | T001256 | QA247 .D87 2014 | Arıyor... |