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Feb 17, 2021 at 20:24 comment added Mark Wildon I’m voting to close this question because it is quite basic and answered in a comment.
Feb 17, 2021 at 14:05 review Close votes
Feb 23, 2021 at 3:02
Feb 17, 2021 at 11:23 history edited mathStudent CC BY-SA 4.0
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Feb 17, 2021 at 11:08 history edited mathStudent CC BY-SA 4.0
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Dec 17, 2020 at 20:14 vote accept mathStudent
Dec 17, 2020 at 20:04 answer added Keith Kearnes timeline score: 3
Dec 17, 2020 at 19:47 comment added Alex B. The head of a projective indecomposable module over an Artinian ring is simple, so there is exactly one isomorphism class of simples that $P_S$ can surject onto (the equality should really be an isomorphism, not an equality). I am sure this is in Alperin, but I don't have the book in front of me right now.
Dec 17, 2020 at 18:30 comment added mathStudent Yes, this is exactly what $\theta_s$ is.
Dec 17, 2020 at 18:27 comment added Johannes Hahn What is $\theta_S$ ? If I had to guess, I'd say it is the morphism $P_S \twoheadrightarrow S \hookrightarrow I_S$. Is that correct?
Dec 17, 2020 at 18:22 history asked mathStudent CC BY-SA 4.0