Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl

PL EN

Preferencje
Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
• # Artykuł - szczegóły

## Colloquium Mathematicum

2014 | 137 | 1 | 7-26

## On stable equivalences of module subcategories over a semiperfect noetherian ring

EN

### Abstrakty

EN
Given a semiperfect two-sided noetherian ring Λ, we study two subcategories $𝓐_k(Λ) = {M ∈ mod Λ | Ext_{Λ}^{j}(Tr M,Λ) = 0 (1 ≤ j ≤ k)}$ and $𝓑_k(Λ) = {N ∈ mod Λ | Ext_{Λ}^{j}(N,Λ) = 0 (1 ≤ j ≤ k)}$ of the category mod Λ of finitely generated right Λ-modules, where Tr M is Auslander's transpose of M. In particular, we give another convenient description of the categories $𝓐_{k}(Λ)$ and $𝓑_{k}(Λ)$, and we study category equivalences and stable equivalences between them. Several results proved in [J. Algebra 301 (2006), 748-780] are extended to the case when Λ is a two-sided noetherian semiperfect ring.

7-26

wydano
2014

### Twórcy

autor
• Interdisciplinary Graduate School, of Science and Technology, Shinshu University, 3-1-1 Asahi, Matsumoto, Nagano, 390-8621, Japan
autor
• Interdisciplinary Graduate School, of Science and Technology, Shinshu University, 3-1-1 Asahi, Matsumoto, Nagano, 390-8621, Japan
autor
• Department of Mathematical Sciences, Shinshu University, 3-1-1 Asahi, Matsumoto, Nagano, 390-8621, Japan