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arXiv · 0903.0357

Two-sided vector spaces

A. Nyman·C. J. Pappacena
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Abstract

We study the structure of two-sided vector spaces over a perfect field $K$. In particular, we give a complete characterization of isomorphism classes of simple two-sided vector spaces which are left finite-dimensional. Using this description, we compute the Quillen $K$-theory of the category of left finite-dimensional, two-sided vector spaces over $K$. We also consider the closely related problem of describing homomorphisms $ϕ:K\to M_n(K)$.

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A. Nyman, C. J. Pappacena. 2009-03-02. Two-sided vector spaces. https://arxiv.org/abs/0903.0357

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