Results 71 to 80 of about 4,385,745 (186)

Adjoint functors and derived functors with an application to the cohomology of semigroups

Journal of Algebra, 1967
In the first section of this paper we prove that, under a suitable adjointness assumption, the derived functors of certain functors on Abelian categories are equal. This theorem implies a number of results in homology theory, including the “mapping theorem” of Cartan-Eilenberg ([I], p. 150).
Marc A. Rieffel, William W. Adams
openaire   +2 more sources

Unbounded derived categories of small and big modules: Is the natural functor fully faithful?

, 2021
L. Positselski, Olaf M. Schnürer
semanticscholar   +1 more source

Cubical approach to derived functors [PDF]

Homology, Homotopy and Applications, 2012
We construct a cubical analog of the Tierney-Vogel theory of simplicial derived functors and prove that these cubical derived functors are naturally isomorphic to their simplicial counterparts. We also show that this result generalizes the well-known fact that the simplicial and cubical singular homologies of a topological space are naturally ...
openaire   +3 more sources

Perverse schobers and Orlov equivalences. [PDF]

Eur J Math, 2023
Koseki N, Ouchi G.
europepmc   +1 more source

ADJOINT FUNCTORS ON THE DERIVED CATEGORY OF MOTIVES [PDF]

Journal of the Institute of Mathematics of Jussieu, 2016
We show that the subcategory of mixed Tate motives in Voevodsky’s derived category of motives is not closed under infinite products. In fact, the infinite product$\prod _{n=1}^{\infty }\mathbf{Q}(0)$is not mixed Tate. More generally, the inclusions of several subcategories of motives do not have left or right adjoints.
openaire   +6 more sources

Lie algebroid cohomology as a derived functor [PDF]

, 2016
U. Bruzzo
semanticscholar   +1 more source

Biset Functors as Module Mackey Functors and its Relation to Derivators [PDF]

Communications in Algebra, 2016
In this article, we will show that the category of biset functors can be regarded as a reflective monoidal subcategory of the category of Mackey functors on the 2-category of finite groupoids. This reflective subcategory is equivalent to the category of modules over the Burnside functor.
openaire   +3 more sources

Universal Causality. [PDF]

Entropy (Basel), 2023
Mahadevan S.
europepmc   +1 more source

Derived functors of $\varprojlim$ and abelian ab3*- and Ab4*-categories with enough injectives [PDF]

, 1981
Piotr Ossowski
openalex   +1 more source

Categorical Torelli theorems: results and open problems. [PDF]

Rend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source