Results 71 to 80 of about 1,689,750 (280)
Coalgebraic Behavioral Metrics [PDF]
We study different behavioral metrics, such as those arising from both branching and linear-time semantics, in a coalgebraic setting. Given a coalgebra $\alpha\colon X \to HX$ for a functor $H \colon \mathrm{Set}\to \mathrm{Set}$, we define a framework ...
Paolo Baldan +3 more
doaj +1 more source
Scissors congruence K$K$‐theory for equivariant manifolds
Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
Noncommutative geometry of algebraic curves
A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
core +2 more sources
Simple Functors of Admissible Linear Categories [PDF]
Let \(R\) be a commutative ring with 1. Given an \(R\)-linear category \({\mathcal L}, \) the authors define an \({\mathcal L}\)-functor to be a functor from \({\mathcal L}\) to the category of \(R\)-modules. In the case where \({\mathcal L}\) is admissible, they establish a bijective correspondence between the isomorphism classes of simple functors ...
Laurence Barker, Merve Demirel
openaire +4 more sources
The log Grothendieck ring of varieties
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Torsion classes of extended Dynkin quivers over commutative rings
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
On Flat Objects of Finitely Accessible Categories
Flat objects of a finitely accessible additive category are described in terms of some objects of the associated functor category of , called strongly flat functors.
Septimiu Crivei
doaj +1 more source
Homotopy homomorphisms and the classifying space functor
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.
core +1 more source
Nakayama functor for monads on finite abelian categories [PDF]
Kenichi Shimizu
openalex +1 more source
Radical preservation and the finitistic dimension
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

