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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Huang H+5 more
europepmc +1 more source
On the Recollements of Functor Categories [PDF]
This paper is devoted to the study of recollements of functor categories in different levels. In the first part of the paper, we start with a small category $\mathcal {S}$ and a maximal object s of
Javad Asadollahi+2 more
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BASIC CONCEPTS OF ENRICHED CATEGORY THEORY
Elements of ∞-Category Theory, 2022Although numerous contributions from divers authors, over the past fifteen years or so, have brought enriched category theory to a developed state, there is still no connected account of the theory, or even of a substantial part of it.
G. M. Kelly+13 more
semanticscholar +1 more source
The category of extensions and a characterisation of n-exangulated functors
Mathematische Zeitschrift, 2022Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important structural information.
Raphael Bennett-Tennenhaus+3 more
semanticscholar +1 more source
2020
Some mathematical constructions are “natural” because they do not involve any arbitrary choice. These constructions can be transferred from one model to another representing the same situation. Category theory has been elaborated so as give this vague but powerful idea a precise meaning which can be used in mathematical proofs.
Adrien Douady, Régine Douady
openaire +2 more sources
Some mathematical constructions are “natural” because they do not involve any arbitrary choice. These constructions can be transferred from one model to another representing the same situation. Category theory has been elaborated so as give this vague but powerful idea a precise meaning which can be used in mathematical proofs.
Adrien Douady, Régine Douady
openaire +2 more sources