Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the representation dimension of artin algebras   The representation dimension of an artin algebra as introduced by M.Auslander
in his Queen Mary Notes is the minimal possible global dimension of the
endomorphism ring of a generator-cogenerator. The paper is based on two texts
written in 2008 in connection with a workshop at Bielefeld. The first part
presents a full proof that any torsionless-finite artin algebra has
representation dimension at most 3, and provides a long list of classes of
algebras which are torsionless-finite. In the second part we show that the
representation dimension is adjusted very well to forming tensor products of
algebras. In this way one obtains a wealth of examples of artin algebras with
large representation dimension. In particular, we show: The tensor product of n
representation-infinite path algebras of bipartite quivers has representation
dimension precisely n+2.

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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga