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Mar 20, 2020 at 17:32 comment added user20948 It is worthwhile to mention that there is a neater (depends on taste) description of $S$, that is, $S=1+I$ with the usual assumption of Axiom of Choice. See Atiyah-Macdonald, Exercise 3.7.
Jan 30, 2020 at 23:11 vote accept Yiiwa
Jan 28, 2020 at 15:18 history edited Pavel Čoupek CC BY-SA 4.0
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Jan 28, 2020 at 2:12 history edited Pavel Čoupek CC BY-SA 4.0
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Jan 28, 2020 at 2:06 history answered Pavel Čoupek CC BY-SA 4.0