Displaying similar documents to “Stable derived functors of the second symmetric power functor, second exterior power functor and Whitehead gamma functor”

The structure of the tensor product of 𝔽 2 [ - ] with a finite functor between 𝔽 2 -vector spaces

Geoffrey M. L. Powell (2000)

Annales de l'institut Fourier

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The paper studies the structure of functors I ⊗ F in the category of functors from finite dimensional 𝔽 2 -vector spaces to 𝔽 2 -vector spaces, where F is a finite functor and I is the injective functor V ↦ 𝔽 2 V * . A detection theorem is proved for sub-functors of such functors, which is the basis of the proof that the functors I ⊗ F are artinian of type one.

Categories of functors between categories with partial morphisms

Hans-Jürgen Vogel (2005)

Discussiones Mathematicae - General Algebra and Applications

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It is well-known that the composition of two functors between categories yields a functor again, whenever it exists. The same is true for functors which preserve in a certain sense the structure of symmetric monoidal categories. Considering small symmetric monoidal categories with an additional structure as objects and the structure preserving functors between them as morphisms one obtains different kinds of functor categories, which are even dt-symmetric categories.

Strong functors on many-sorted sets

Paul B. Levy (2019)

Commentationes Mathematicae Universitatis Carolinae

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We show that, on a category of many-sorted sets, the only functors that admit a cartesian strength are those that are given componentwise.