Results 61 to 70 of about 1,625,403 (282)
Universal Properties in Quantum Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace preserving (CPTP) maps, the basic notion of quantum channel.
Mathieu Huot, Sam Staton
doaj +1 more source
On maximal proper subgroups of field automorphism groups
, 2009 Let $G$ be the automorphism group of an extension $F|k$ of algebraically closed fields of characteristic zero and of transcendence degree $n$, $1\le n\le\infty$. In this paper we (i) construct some maximal closed non-open subgroups $G_v$, and some (all,
Rovinsky, M.
core +1 more source
On the injective dimension of unit Cartier and unit Frobenius modules
Bulletin of the London Mathematical Society, EarlyView.Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle +3 more
wiley +1 more source
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 +3 more sources
The cube and the burnside category [PDF]
, 2015 In this note we present a combinatorial link invariant that underlies some recent stable homotopy refinements of Khovanov homology of links. The invariant takes the form of a functor between two combinatorial 2-categories, modulo a notion of stable ...
T. Lawson +2 more
semanticscholar +1 more source
No-go theorems for functorial localic spectra of noncommutative rings [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Any functor from the category of C*-algebras to the category of locales that assigns to each commutative C*-algebra its Gelfand spectrum must be trivial on algebras of nxn-matrices for n at least 3. The same obstruction applies to the Zariski, Stone, and
Benno van den Berg, Chris Heunen
doaj +1 more source
Étale motives of geometric origin
Bulletin of the London Mathematical Society, EarlyView.Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
wiley +1 more source
An Invitation to Applied Category Theory
, 2019 Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science ...
Brendan Fong, David I. Spivak
semanticscholar +1 more source
Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
doaj +1 more source
Wild blocks of type A$A$ Hecke algebras are strictly wild
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove that all wild blocks of type A$A$ Hecke algebras with quantum characteristic e⩾3$e \geqslant 3$ — that is, blocks of weight at least 2 — are strictly wild, with the possible exception of the weight 2 Rouquier block for e=3$e = 3$.
Liron Speyer
wiley +1 more source