Timeline for If a quotient ring is a projective module then the ideal is principal
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Dec 1, 2016 at 15:19 | comment | added | R. Morty | Ah yes sloppy notation on my part. Thanks again! | |
Dec 1, 2016 at 14:50 | comment | added | Pace Nielsen | Basically, yes, except that $R/I$ is only isomorphic (not equal) to a submodule of $R$. | |
Dec 1, 2016 at 14:44 | vote | accept | R. Morty | ||
Dec 1, 2016 at 14:44 | comment | added | R. Morty | Ok I think I got it thanks. To get used to the different notations, basically $R/I$ projective means $(1)=R=R/I \oplus I=(1+I)\oplus I$ so $I$ cyclic as well? | |
Dec 1, 2016 at 14:04 | history | answered | Pace Nielsen | CC BY-SA 3.0 |