Results 71 to 80 of about 1,113 (200)

Rickard's derived Morita theory: Review and outlook

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso   +2 more
wiley   +1 more source

A shape theoretic approach to generalized cohomological dimension with respect to topological spaces [PDF]

open access: yes, 2014
A. N. Dranishnikov introduced the notion of generalized cohomological dimension of compact metric spaces with respect to CW spectra. In this paper, taking an inverse system approach, we generalize this definition and obtain two types of generalized ...
Miyata, Takahisa, Takahisa Miyata
core   +2 more sources

Arithmeticity for integral cohomological dimension of configuration spaces of manifolds [PDF]

open access: yes, 2023
Consider the configuration spaces of manifolds. We give a precise formula for the integral cohomological dimension (the degree of top non-trivial integral cohomology group) of unordered configuration spaces of manifolds with non-trivial co-dimension one ...
Yameen, Muhammad
core   +1 more source

Principal quasi-ideals of cohomological dimension 1 [PDF]

open access: yes, 2003
We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is ...
Novikov, B.V.
core   +2 more sources

Homological dimension and Farrell cohomology

open access: yesJournal of Algebra, 1984
\textit{F. T. Farrell} [J. Pure Appl. Algebra 10, 153--161 (1978; Zbl 0373.20050)] constructed a cohomology theory for groups of finite virtual cohomological dimension which generalizes the Tate cohomology theory of finite groups. In this very interesting paper the author extends Farrell cohomology to a class of groups larger than the class of groups ...
openaire   +2 more sources

Union theorem for cohomological dimension: a simple counterexample [PDF]

open access: yes, 1994
An elementary counterexample to the Union Theorem for cohomological dimension with coefficients in Z / 2 ∞ {\mathbf {Z}}
Jerzy Dydak
core   +1 more source

The Strict Cohomological Dimension of Higher Dimensional Local Fields [PDF]

open access: yes, 1999
In this paper, we determine the strict cohomological dimension of higher dimensional local elds. 1 Introduction The aim of this paper is to determine exactly the strict cohomological dimension of higher dimensional local elds.
Yoshihiro Koya
core  

Sheaf theoretic cohomological dimension and finitistic spaces [PDF]

open access: yes, 1982
For a topological n n -manifold X X , we proved earlier [7] that Di m Z
Satya Deo
core   +1 more source

Cohomological and projective dimensions [PDF]

open access: yesCompositio Mathematica, 2013
Abstract Let $\mathfrak{a}$ be a homogeneous ideal of a polynomial ring
openaire   +3 more sources

On the Left and Right Cohomological Dimension of Monoids [PDF]

open access: yes, 1996
In this paper we construct, for any 1 m;n 1, a finitely presented monoid with left cohomological dimension m and right cohomological dimension ...
S. J. Pride, V. S. Guba
core  

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