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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,
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A category of quantum categories [PDF]
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
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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
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The category of Bratteli diagrams
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
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Category theory : definitions and examples [PDF]
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
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
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On K_1 of a Waldhausen category
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
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Cutting-Edge EMS Technologies for EVs and HEVs: Recent Developments and Future Directions
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
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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 ...
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