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A multiplicative normal functor is a power functor
Mathematical Notes of the Academy of Sciences of the USSR, 1987Let Comp be the category of compact spaces and continuous mappings. A functor F: Comp\(\to Comp\) is called normal if F is continuous and preserves weights, monomorphisms, epimorphisms, intersections, preimages, singletons and the empty set. It is proved that a normal functor F is the ith power functor for some natural number i whenever F preserves ...
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REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
Mathematics of the USSR-Izvestiya, 1990This paper studies the categorical version of the concept of mutations of an exceptional set, as used in the theory of vector bundles. The basic object of study is a triangulated category with a family of subcategories satisfying the so-called admissibility condition. A natural notion arising here is that of a Serre functor, effecting a certain duality
Alexey Bondal, M. Kapranov
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Mathematics of the USSR-Sbornik, 1985
It is shown that for the values of \(\widehat{\text{Tor}}^ k(M,N)\) to be noetherian it suffices that all five arguments be noetherian (the ground ring, the local algebras over it, and the modules over these).
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It is shown that for the values of \(\widehat{\text{Tor}}^ k(M,N)\) to be noetherian it suffices that all five arguments be noetherian (the ground ring, the local algebras over it, and the modules over these).
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Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian
International Mathematics Research Notices, 2021Kang Lu, Evgeny Mukhin
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1972
If T: ∂AG→∂AG is a functor from complexes to complexes then X↦TSX provides a generalization of the singular complex SX which may yield new useful topological invariants. We study this question (§§ 2–7), at least if T is the (dimension-wise) prolongation of an additive functor t: AG→AG.
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If T: ∂AG→∂AG is a functor from complexes to complexes then X↦TSX provides a generalization of the singular complex SX which may yield new useful topological invariants. We study this question (§§ 2–7), at least if T is the (dimension-wise) prolongation of an additive functor t: AG→AG.
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Categories of Functors and Adjoint Functors
American Journal of Mathematics, 1966openaire +2 more sources
A Modular Functor Which is Universal¶for Quantum Computation
Communications in Mathematical Physics, 2002Zhenghan Wang
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Functor-oriented topology optimization of elasto-plastic structures
Advances in Engineering Software, 2019Piotr Tauzowski, Bartlomiej Blachowski
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