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Categories of Dimension Zero. (arXiv:1508.04107v2 [math.RT] UPDATED)
来源于:arXiv
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. 查看全文>>