منابع مشابه
Auslander - Buchsbaum
A vanishing theorem is proved for Ext groups over non-commutative graded algebras. Along the way, an “infinite” version is proved of the non-commutative Auslander-Buchsbaum theorem.
متن کاملAuslander-type Conditions
Throughout this article, Λ is a left and right Noetherian ring (unless stated otherwise), modΛ is the category of finitely generated left Λ-modules and 0 → Λ → I0(Λ) → I1(Λ) → · · · → Ii(Λ) → · · · is the minimal injective resolution of Λ as a left Λ-module. For a module M ∈ mod Λ and a non-negative integer n, recall that the grade of M , denoted by gradeM , is said to be at least n if ExtΛ(M, ...
متن کاملJonathan Appavoo Marc Auslander
K42 is an open-source research kernel for cache-coherent 64-bit multiprocessor systems. K42 focuses on achieving good performance and scalability, providing a customizable and maintainable system, and being accessible to a large community through an open source development model. To that end, K42 fully supports the Linux API and ABI and uses Linux libraries, device drivers, file systems, and ot...
متن کاملAuslander-Reiten theory revisited
We recall several results in Auslander-Reiten theory for finite-dimensional algebras over fields and orders over complete local rings. Then we introduce n-cluster tilting subcategories and higher theory of almost split sequences and Auslander algebras there. Several examples are explained. Mathematics Subject Classification (2000). Primary 16G70; Secondary 16E30, 16G30.
متن کاملAuslander-reiten Sequences on Schemes
Let X be a smooth projective scheme of dimension d ≥ 1 over the field k, and let C be an indecomposable coherent sheaf on X . Then there is an Auslander-Reiten sequence in the category of quasi-coherent sheaves on X , 0 → (ΣC)⊗ ω −→ B −→ C → 0. Here ΣC is the (d−1)’st syzygy in a minimal injective resolution of C, and ω is the dualizing sheaf of X . 0. Introduction This note shows that Auslande...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2007
ISSN: 0001-8708
DOI: 10.1016/j.aim.2006.06.003