Timeline for Flatness of module
Current License: CC BY-SA 2.5
3 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jun 29, 2010 at 18:39 | comment | added | Georges Elencwajg | Matsumura Commutative Ring Theory, Theorem 7.1, page 46. | |
Jun 29, 2010 at 18:11 | comment | added | ashpool | I just discovered that the argument works for modules as well, in the following form: $A\rightarrow B$ a ring homomorphism, $N$ a $B$-module which is flat over $A$, $T\subset B$ a multiplicative subset. Then $T^{-1}N$ is flat over $A$. | |
Jun 29, 2010 at 17:01 | history | asked | ashpool | CC BY-SA 2.5 |