Does cosets exist in rings?(adsbygoogle = window.adsbygoogle || []).push({});

i.e R = Ring, a in R

set {a*R}

or

set {a+R}

The above two sets looks very similar to cosets in groups but there are two operations in rings so potentially two different cosets both involving the same ring R and element a. If the above two sets are not cosets than what are they called?

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# Homework Help: Cosets in rings?

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