global dimension = 1? —Preceding unsigned comment added by 131.220.133.47 (talk) 14:11, 9 February 2011 (UTC)Reply

Also quotients of injective modules are injective

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This follows from the fact that the global dimension is also the supremum of the injective dimensions. ~2026-94393 (talk) 13:42, 5 January 2026 (UTC)Reply