Timeline for The correct homotopically relevant notion of ideals of dg-algebras (or $\mathbb E_1$-rings)
Current License: CC BY-SA 4.0
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May 28, 2020 at 17:31 | comment | added | Liran Shaul | @DavidWhite, thanks! my answer was about DG-algebras. I have no experience with spectra. | |
May 28, 2020 at 17:27 | comment | added | David White | Welcome to MathOverflow! I tend to disagree with your answer for the case of spectra. The philosophy of Jeff Smith and Mark Hovey, and the applications to K-theory Smith envisioned, really need some kind of object at the point-set level, not just in the homotopy category. That said, Proposition 1.7 in Hovey's paper unwinds the definition of a Smith ideal into the language of R-bimodules, and might help bridge between your answer and mine. | |
May 28, 2020 at 15:56 | review | First posts | |||
May 28, 2020 at 16:03 | |||||
May 28, 2020 at 15:51 | history | answered | Liran Shaul | CC BY-SA 4.0 |