Talk:Kähler differential

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Mathematics rating:	Stub Class	Mid Priority	Field: Analysis
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. --Cronholm144 21:19, 15 June 2007 (UTC)

It's unclear whether we're talking about R-modules or S-modules here, it seems like one or the other is a typo. The Kahler differential Omega_{S/R} is an R-module, right?

It's both; In the first contruction given it is explicitly an S-module and becomes an R-module via the homomorphism φ from R to S. In the second method it is explicitly constructed as an R-module and then it is usually shown (although the wikipedia page doesn't show this) that it can be made into an S-module in a canonical way. Although Omega_{S/R} is an S-module, d is only a homomorphism of R-modules. 69.234.35.181 (talk) 21:39, 26 May 2008 (UTC)