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Arbitrary subset of quotient group or ring
Let $R$ be a group/ring and $I$ a normal subgroup/ideal, and form the quotient group/ring $R/I$.
Is is legitimate to write either of the following?
$S/I$ is an arbitrary subset of $R/I$, where $S \...
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Which notation is best for $R/I$
When $R$ is a ring and $I$ is an ideal of $R$, I have seen a variety of notational uses for the cosets in $R/I$, and I'm not sure which one is best in which context. For $a\in R$, if $C_a\in R/I$ is ...
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