Results 51 to 60 of about 29,359 (208)
Derived equivalences of functor categories
, 2019 Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. Using the notion of relative derived categories of functor categories, we generalize Rickard's theorem on derived equivalences of module categories over rings to $\Mod \
Asadollahi, J., Hafezi, R., Vahed, R.
core +1 more source
Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source
Journal of Pure and Applied Algebra, 1990 The Gabriel-Popescu Theorem implies that every Grothendieck category \(\underline D\) may be identified as a quotient category of a module category \(\underline{R\text{-mod}}\), i.e., up to equivalence \(\underline D=\underline{(R,\sigma)}\)-mod, the quotient category of \(\underline{R\text{-mod}}\) with respect to some idempotent kernel functor ...
Hendrickx, B., Verschoren, A.
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Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
The Gorenstein defect category [PDF]
, 2014 We consider the homotopy category of complexes of projective modules over a Noetherian ring. Truncation at degree zero induces a fully faithful triangle functor from the totally acyclic complexes to the stable derived category.
Bergh, Petter Andreas +2 more
core
Homotopy homomorphisms and the classifying space functor
, 2014 We show that the classifying space functor $B: Mon \to Top*$ from the category of topological monoids to the category of based spaces is left adjoint to the Moore loop space functor $\Omega': Top*\to Mon$ after we have localized $Mon$ with respect to all
Vogt, R. M.
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On the local Kan structure and differentiation of simplicial manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
wiley +1 more source
Derived Mackey functors and $C_{p^n}$-equivariant cohomology [PDF]
, 2021 David Ayala +2 more
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Perversely categorified Lagrangian correspondences
, 2016 In this article, we construct a $2$-category of Lagrangians in a fixed shifted symplectic derived stack S. The objects and morphisms are all given by Lagrangians living on various fiber products. A special case of this gives a $2$-category of $n$-shifted
Amorim, Lino, Ben-Bassat, Oren
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Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley +1 more source