Timeline for Question on bigraded modules
Current License: CC BY-SA 3.0
3 events
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Oct 16, 2012 at 6:51 | comment | added | Ralph | It doesn't disappear, just the monomial $T^j$ disappears. More precisely, (for fixed i) I'm using the (k-vector space) isomorphism $$\bigoplus_j kX^iT^j \to \bigoplus_j kX^i,\;X^iT^j \mapsto (0,...,0,X^i,0...,0),$$ with $X^i$ placed in position $j$. It's the same as writing $\bigoplus_j kT^j \xrightarrow{\sim} \bigoplus_j k,\;\sum_j a_jT^j \mapsto (a_j)_j$ | |
Oct 16, 2012 at 1:50 | comment | added | Knot | @Ralph: Thank you very much for answering my question. May I ask : Why in $(*)$ the component containging the variables $T1,...T_s$ disappear? | |
Oct 15, 2012 at 22:00 | history | answered | Ralph | CC BY-SA 3.0 |