منابع مشابه
On Some Local Cohomology Invariants of Local Rings
Let A be a commutative Noetherian local ring containing a field of characteristic p > 0. The integer invariants λi,j(A) have been introduced in an old paper of ours. In this paper we completely describe λd,d(A) where d = dimA in terms of the topology of SpecA.
متن کاملHomological Invariants and Quasi - Isometry
Building upon work of Y. Shalom we give a homological-algebra flavored definition of an induction map in group homology associated to a topological coupling. As an application we obtain that the cohomological dimension cdR over a commutative ring R satisfies the inequality cdR(Λ) ≤ cdR(Γ) if Λ embeds uniformly into Γ and cdR(Λ) < ∞ holds. Another consequence of our results is that the Hirsch ra...
متن کاملHomological Codimension of Modular Rings of Invariants and the Koszul Complex
Let ρ : G GL(n, IF) be a representation of a finite group over the field IF of characteristic p, and h1 , . . . , hm ∈IF[V ]G ivariant polynomials that form a regular sequence in IF[V ]. In this note we introduce a tool to study the problem of whether they form a regular sequence in IF[V ]G. Examples show they need not. We define the cohomology of G with coefficients in the Koszul complex
متن کاملHomological Dimensions and Regular Rings
A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.
متن کاملHomological Characterizations of Rings with Property (P)
A commutative ring R is said to satisfy property (P) if every finitely generated proper ideal of R admits a non-zero annihilator. In this paper we give some necessary and sufficient conditions that a ring satisfies property (P). In particular, we characterize coherent rings, noetherian rings and P-coherent rings with property (P).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1963
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000011120