Timeline for When does the homological dimension of a tensor product equal the sum of dimensions?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Nov 29, 2023 at 23:19 | vote | accept | David White | ||
Sep 3, 2022 at 17:02 | history | edited | Glorfindel | CC BY-SA 4.0 |
2 broken links fixed, cf. https://meta.mathoverflow.net/q/5301/70594
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Nov 18, 2013 at 13:57 | answer | added | A. Gupta | timeline score: 3 | |
Jun 25, 2011 at 20:25 | comment | added | Mariano Suárez-Álvarez | An interesting example in this context is: if $A_n(R)$ is the $n$th Weyl algebra "with coefficients in a ring $R$", and $R$ is of finite right global dimension, then $\operatorname{rgldim}R+n\leq\operatorname{rgldim}A_n(R)\leq\operatorname{rgldim}R+2n$, and moreover by picking $R$ correctl one can see that each of the possible values is attained (one can in fact use for $R$ the quotient rings of appropriate Weyl algebras over fields for this) | |
Jun 25, 2011 at 20:18 | comment | added | Mariano Suárez-Álvarez | I think this is pretty much an open question. | |
Jun 25, 2011 at 20:14 | history | edited | David White | CC BY-SA 3.0 |
Changed some wording
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Jun 25, 2011 at 20:01 | history | asked | David White | CC BY-SA 3.0 |