Timeline for Does coproduct preserve cohomology in differential graded algebra category
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| Mar 25 at 15:45 | comment | added | Tyler Lawson | In the case where the underlying module of $A$ splits off the unit ($A = k \oplus \bar A$) and similarly for $B$, I believe that your formula for the coproduct does generalize to one that looks like $k$ plus the nonunital coproduct of $\bar A$ with $\bar B$. You can get many counterexamples in cases where it doesn't split off, e.g. when $A = k/J$ for some ideal $J$. | |
| Mar 24 at 19:48 | history | answered | Dan Petersen | CC BY-SA 4.0 |