Results 101 to 110 of about 1,689,750 (280)

Adjoint Functors and Triangulated Categories [PDF]

Communications in Algebra, 2008
We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the cases of homotopy and stable module categories. These categories naturally fit into a framework of relative derived categories, and once we prove that there are decent ...
openaire   +2 more sources

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc, Lina Sophie Schmitz, Christoph Walker   +2 more
wiley   +1 more source

Adjoints, wrapping, and morphisms at infinity

Comptes Rendus. Mathématique
For a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov’s algebraizable categorical formal punctured neighborhood of infinity can be computed using the natural cone between right
Kuwagaki, Tatsuki, Shende, Vivek
doaj   +1 more source

Explicit constructions of short virtual resolutions of truncations

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4000-4014, December 2025.
Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley   +1 more source

Dg analogues of the Zuckerman functors and the dual Zuckerman functors I

, 2016
We study the category of dg Harish-Chandra modules (over an arbitrary commutative ring) and construct dg analogues of the induction functor, the production functor, the Zuckerman functor and the dual Zuckerman functor.Comment: 38 ...
Hayashi, Takuma
core  

Morita Theorems for Functor Categories [PDF]

Transactions of the American Mathematical Society, 1972
We generalize the Morita theorems to certain functor categories using properties of adjoint functors.
openaire   +2 more sources

A Zassenhaus Lemma for Digroups

Mathematics
In this paper, we construct a quotient structure on digroups. This construction yields a new functor from the category of digroups to the category of groups.
Guy Roger Biyogmam
doaj   +1 more source

Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs

Forum of Mathematics, Sigma
We show that, for an arbitrary finite-dimensional quasi-reductive Lie superalgebra over ${\mathbb {C}}$ with a triangular decomposition and a character $\zeta $ of the nilpotent radical, the associated Backelin functor $\Gamma _\zeta $
Chih-Whi Chen, Shun-Jen Cheng
doaj   +1 more source

On a Covariant Functor v in the Category R - of Compact Tychonov Spaces and their Continuous Mappings into Itself

, 2021
Tursunbay Fayziyevich Zhurayev, Alimbay Rakhmatullayev, Gulnara Goyibnazarova, Gulbaxor Mirsaburova, Kamariddin Rizokulovich Zhuvonov   +4 more
openalex   +1 more source

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

, 2021
Leonid Positselski, Olaf M. Schnürer
openalex   +1 more source