In learning group theory, you learn about cosets as a partition of the entire group with respect to a subgroup. Since we are dealing with groups, there is only on operation that can be used to form the cosets. But when we come to rings, we now have two operations. So my question is, why do we only care about additive cosets, as opposed to defining multiplicative cosets and investigating them?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Multiplicative cosets

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