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Videography by Karene Chu | troubleshooting |
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The wClips |
http://katlas.math.toronto.edu/drorbn/dbnvp/dbnvp.png |
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Jan 11, 2012 | ![]() ![]() |
Jan 18, 2012 | ![]() ![]() ![]() |
Jan 25, 2012 | ![]() ![]() ![]() |
Feb 1, 2012 | ![]() |
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Feb 22, 2012 | ![]() ![]() |
Feb 29, 2012 | ![]() |
Mar 7, 2012 | ![]() |
Mar 14, 2012 | ![]() |
Mar 21, 2012 | ![]() |
Mar 28, 2012 | Out-of-sequence not-on-tape we watched the video of Talks: GWU-1203. |
Apr 4, 2012 | ![]() |
Apr 18, 2012 | ![]() ![]() |
Apr 25, 2012 | ![]() |
May 2, 2012 | ![]() |
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May 23, 2012 | ![]() |
May 30, 2012 | ![]() ![]() |
Group photo on January 11, 2012: DBN, ZD, Stephen Morgan, Lucy Zhang, Iva Halacheva, David Li-Bland, Sam Selmani, Oleg Chterental, Peter Lee. |
When talking about powers of the augmentation ideal, we only use the original operations of our structure.
So in the example where the structure is a group $G$, its group-ring ${\mathbb Q}G$ is again a structure with just one binary operation (multiplication) plus an artificially-added auxiliary operation "addition" which does not participate in taking powers of the augmentation ideal.
An alternative to all that is to start with a structure whose ${\mathcal O}_\alpha$'s are linear spaces (or at least, ${\mathbb Z}$-modules) and all of whose operations are multi-linear. Here again "addition" will have a special role and will not participate in forming powers of the augmentation ideal. --Drorbn 15:46, 25 March 2012 (EDT)