Timeline for When every module is a scalar extension?

11 events

when toggle format	what		by	license	comment
May 11, 2015 at 12:55	vote	accept	user237522
May 11, 2015 at 8:55	comment	added	Vinteuil		Hochschild, Relative homological algebra, Trans. Amer. Math. Soc. 1956.
May 11, 2015 at 8:49	answer	added	Vinteuil		timeline score: 1
S May 10, 2015 at 19:45	history	suggested	user 1		tags added
May 10, 2015 at 18:51	review	Suggested edits
S May 10, 2015 at 19:45
S May 10, 2015 at 18:44	history	suggested	Rahman. M		edit tags.
May 10, 2015 at 18:25	review	Suggested edits
S May 10, 2015 at 18:44
May 10, 2015 at 18:08	comment	added	user237522		Thank you both. Please can you recommend books/papers dealing with relative free modules?
May 10, 2015 at 17:04	comment	added	grghxy		@JohannesHahn: what do you mean by "more or less equivalent"? If $B$ is a nonzero ring that is not a field and $I$ is a maximal ideal of $B$ then $B/I$ is a $B$-module that is not free.
May 10, 2015 at 16:58	comment	added	Johannes Hahn		A module of the form $M\otimes B$ is sometimes called "relative free" (and a direct summand of such a module is called "relative projective"). You're asking for coniditions when every module is relative free. If $A$ is a field, then this means that every $B$-module is free which is more or less equivalent to being a principle ideal domain.
May 10, 2015 at 16:49	history	asked	user237522	CC BY-SA 3.0