Results 51 to 60 of about 94,161 (290)
Heavily separable functors [PDF]
Journal of Algebra, 2020 Prompted by an example related to the tensor algebra, we introduce and investigate a stronger version of the notion of separable functor that we call heavily separable. We test this notion on several functors traditionally connected to the study of separability.
Ardizzoni A., Menini C.
openaire +5 more sources
Free incomplete Tambara functors are almost never flat [PDF]
, 2021 Free algebras are always free as modules over the base ring in classical algebra. In equivariant algebra, free incomplete Tambara functors play the role of free algebras and Mackey functors play the role of modules. Surprisingly, free incomplete Tambara functors often fail to be free as Mackey functors. In this paper, we determine for all finite groups
arxiv +1 more source
N-complexes as functors, amplitude cohomology and fusion rules [PDF]
, 2006 We consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology only vanishes on injective functors providing a well defined functor on the ...
A. Connes +20 more
core +6 more sources
Linguistic Complexity and Argumentative Unity: A Lvov-Warsaw School Supplement
Studies in Logic, Grammar and Rhetoric, 2014 It is argued that the source of complexity in language is twofold: repetition, and syntactic embedding. The former enables us to return again and again to the same subject across many sentences, and to maintain the coherence of an argument. The latter is
Simons Peter
doaj +1 more source
Proper Functors and Fixed Points for Finite Behaviour [PDF]
Logical Methods in Computer Science, 2018 The rational fixed point of a set functor is well-known to capture the behaviour of finite coalgebras. In this paper we consider functors on algebraic categories. For them the rational fixed point may no longer be fully abstract, i.e.
Stefan Milius
doaj +1 more source
On the Smoothness of Functors [PDF]
Iranian Journal of Mathematical Sciences and Informatics, 2010 In this paper we try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should to have.
Arash Rastegar, Ali Bajravani
openaire +2 more sources
t-structures for relative D-modules and t-exactness of the de Rham functor [PDF]
, 2018 This paper is a contribution to the study of relative holonomic D-modules. Contrary to the absolute case, the standard t-structure on holonomic D-modules is not preserved by duality and hence the solution functor is no longer t-exact with respect to the
Fiorot, Luisa +1 more
core +1 more source
Classifying affine line bundles on a compact complex space
Complex Manifolds, 2019 The classification of affine line bundles on a compact complex space is a difficult problem. We study the affine analogue of the Picard functor and the representability problem for this functor. Let be a compact complex space with .
Plechinger Valentin
doaj +1 more source
Functors Induced by Cauchy Extension of C$^ast$-algebras [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we give three functors $mathfrak{P}$, $[cdot]_K$ and $mathfrak{F}$ on the category of C$^ast$-algebras. The functor $mathfrak{P}$ assigns to each C$^ast$-algebra $mathcal{A}$ a pre-C$^ast$-algebra $mathfrak{P}(mathcal{A})$ with completion $
Kourosh Nourouzi, Ali Reza
doaj +1 more source
Entropy, 2021 We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms.
James Fullwood
doaj +1 more source