Öz
Over a commutative noetherian ring, we introduce a generalization of
Gorenstein projective and injective modules, which we call, respectively,
n-Gorenstein projective and injective modules. These last two classes
of modules give us a new characterization of Gorenstein rings in terms
of top local cohomology modules of flat modules. We also utilize the
n-Gorenstein injective dimension to study an open question of Takahashi. Furthermore, we prove that a nonzero finite module with finite
n-Gorenstein projective dimension satisfies the Auslander-Bridger formula.
Anahtar Kelimeler
n-Gorenstein projective module n-Gorenstein injective module n-Gorenstein projective dimension n-Gorenstein injective dimension
Kaynakça
- .
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Aralık 2015 |
| Yayımlandığı Sayı | Yıl 2015 Cilt: 44 Sayı: 6 |