4
$\begingroup$

Let $R$ be a graded ring (concentrated in nonnegative dimensions and maybe bounded from above). For every positive natural number $n$, denote by $R\to\tau_{\leq n}R$ the $n$-truncation and by $\tau_{\geq n}R \to R$ the analogous procedure killing all dimensions below n. These two rings may both be viewed as $R$-modules.

My question is the following: Is there a simple procedure computing $Tor_*^R(\tau_{\leq n}R, \tau_{\geq n+1}R)$ (in the category of graded modules)?

Improve this question
$\endgroup$
2
  • 2
    $\begingroup$ you tag this with "algebraic topology", so there is a topological background? $\endgroup$
    – Martin Brandenburg
    Commented Jul 4, 2010 at 15:39
  • 1
    $\begingroup$ probably, sometimes i use the tag because i want the perspective of a topologist who might not otherwise see it. It lets the readers know my leanings. $\endgroup$
    – Sean Tilson
    Commented Aug 30, 2011 at 21:32

0

Reset to default

You must log in to answer this question.