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Categories of categories

open access: yes, 2007
A certain amount of category theory is developed in an arbitrary finitely complete category with a factorization system on it, playing the role of the comprehensive factorization system on Cat. Those aspects related to the concepts of finality (in particular terminal objects), discreteness and components, representability, colimits and universal arrows,
openaire   +2 more sources

A category of quantum categories [PDF]

open access: yes, 2010
Quantum categories were introduced in [4] as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how the monadic definition of a quantum category unpacks to a set of axioms ...
Chikhladze, Dimitri
core   +3 more sources

Definable categories

open access: yesJournal of Pure and Applied Algebra, 2018
22 ...
Kuber, Amit, Rosický, Jiří
openaire   +3 more sources

Category 5 [PDF]

open access: yes, 2017
Follow Elizabeth and her family through this family oriented video series which highlights topics such as preparing for a hurricane, how to help those affected by a storm and raises awareness for mental health after a natural disaster.
Dutertre (Accounting), Kelly   +3 more
core   +1 more source

The category of Bratteli diagrams

open access: yes, 2014
A category structure for Bratteli diagrams is proposed and a functor from the category of AF algebras to the category of Bratteli diagrams is constructed.
Amini, Massoud   +2 more
core   +1 more source

Category theory : definitions and examples [PDF]

open access: yes, 1990
Category theory was invented as an abstract language for describing certain structures and constructions which repeatedly occur in many branches of mathematics, such as topology, algebra, and logic.
Srinivas, Yellamraju V.
core  

Kleisli categories, T-categories and internal categories

open access: yesTheory and Applications of Categories
We investigate the properties of the Kleisli category KlT of a monad (T,{\lambda},{\mu}) on a category E and in particular the existence of (some kind of) pullbacks. This culminates when the monad is cartesian. In this case, we show that any T-category in E in the sense of A. Burroni coincides with a special kind of internal category in KlT . So, it is
openaire   +3 more sources

On K_1 of a Waldhausen category

open access: yes, 2006
We give a simple representation of all elements in K_1 of a Waldhausen category and prove relations between these representatives which hold in ...
Muro, Fernando, Tonks, Andrew
core   +1 more source

Cutting-Edge EMS Technologies for EVs and HEVs: Recent Developments and Future Directions

open access: yesIEEE Access
Energy Management Strategies (EMS) are critical for optimizing energy utilization, improving performance, and reducing environmental impact in Electric Vehicles (EVs) and Hybrid Electric Vehicles (HEVs).
Yashar Farajpour   +3 more
doaj   +1 more source

Jacobson Categories

open access: yesJournal of Algebra, 1994
As its title indicates, the main purpose of this paper is to introduce and study the notion of Jacobson category. These categories find their origin in the properties of the category of algebraic commutative algebras over a field \(k\). Typically, this category has the property that inverting an element in an algebra is equivalent to annihilating ...
openaire   +1 more source

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