Timeline for Freeness of a Z[x]-module

9 events

when toggle format	what		by	license	comment
Jun 11, 2013 at 9:59	comment	added	Stefan Kohl♦		@David: no, so far I don't know a $\mathbb{Z}$-basis for $R \cap \mathbb{Q}[x]$.
Jun 11, 2013 at 8:10	history	edited	darij grinberg	CC BY-SA 3.0	typo
Jun 11, 2013 at 2:33	comment	added	Theo Johnson-Freyd		Incidentally, it is true that $f$ is divisible by $2$ among integer-valued functions. But of course $f(4)/2 = 6$ is not divisible by $4$ among integers.
Jun 10, 2013 at 23:41	comment	added	David E Speyer		Out of curiosity, do you know a $\mathbb{Z}$-basis for $R \cap \mathbb{Q}[x]$? That seems like a natural first question to me.
Jun 10, 2013 at 21:01	comment	added	Stefan Kohl♦		Thank you very much! (Though I'd hoped an answer would need to reveal a little more of the structure of $R$ ...).
Jun 10, 2013 at 20:35	history	edited	David E Speyer	CC BY-SA 3.0	added 520 characters in body
Jun 10, 2013 at 20:33	vote	accept	Stefan Kohl♦
Jun 13, 2013 at 13:54
Jun 10, 2013 at 19:57	history	edited	David E Speyer	CC BY-SA 3.0	added 158 characters in body
Jun 10, 2013 at 19:49	history	answered	David E Speyer	CC BY-SA 3.0