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arXiv · 1508.04107

Categories of Dimension Zero

John D. Wiltshire-Gordon
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Abstract

If D is a category and k is a commutative ring, the functors from D to k-Mod can be thought of as representations of D. By definition, D is dimension zero over k if its finitely generated representations have finite length. We characterize categories of dimension zero in terms of the existence of a "homological modulus" (Definition 1.4) which is combinatorial and linear-algebraic in nature.

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BibTeXRIS

John D. Wiltshire-Gordon. 2015-08-17. Categories of Dimension Zero. https://doi.org/10.1090/proc%2F14040

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