The Quaternion Numbers

Xiquan Liang; Fuguo Ge

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Some properties of the functor $O_{β}$ .

Beshimov, R.B. (2004)

Zapiski Nauchnykh Seminarov POMI

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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.

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 $I \otimes F$ 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 $V \mapsto 𝔽_{2}^{V^{*}}$ . A detection theorem is proved for sub-functors of such functors, which is the basis of the proof that the functors $I \otimes F$ are artinian of type one.