DaniW

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seen May 13 '13 at 13:38

Nov
16
awarded  Scholar
Nov
16
comment Finitely generated resolutions
And there was I looking at Schanuel's Lemma just minutes before asking, but didn't realise that it contains most of the answer. Thank you very much everyone!
Nov
16
accepted Finitely generated resolutions
Nov
16
asked Finitely generated resolutions
Nov
14
comment Generalization of traces
@Pasha: Thanks a lot, that paper looks useful. I try to figure out what happens if I specialize to my intended case.
Nov
10
comment Generalization of traces
Of course you are right about the monoidal structure, nevertheless there is a trace for endomorphisms of $R$-modules with $R$ non-commutative (living in the abelianization of $R$). I was intending to get a trace for reasonably behaved finitely generated modules, so no infinite dimensions in sight. As I have sketched, modules with a finitely generated projective resolution seem promising candidates. As for applications, I would like to be able to pass to the homology of a fgp chain complex and obtain a trace in homology. This is usually not projective, so I need some weaker condition.
Nov
10
awarded  Student
Nov
10
awarded  Editor
Nov
10
revised Generalization of traces
link corrected
Nov
10
asked Generalization of traces