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Talk:Schanuel's lemma - Wikipedia

Talk:Schanuel's lemma

Latest comment: 1 month ago by Spamakin in topic Definitions

Definitions

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I hope someone will define R. It is possible to infer that R is a ring. It is not possible to infer exactly what properties it must have. I suppose it must be commutative? Must it be unital? Etc. Zaslav (talk) 05:54, 23 December 2010 (UTC)Reply

The ring is unital for sure. I do not think it necessarily has to be commutative. But some sort of extra check confirmation would be appreciated. I am referring to Rotman's An Introduction Homologial Algebra. Projective modules are not defined only over commutative rings. I have added that R has to be unital. Spamakin (talk) 22:07, 8 August 2024 (UTC)Reply