Definition:Coset/Also defined as
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Coset: Also defined as
When defining a coset, it is usual for the algebraic structure $S$ in which it is embedded to be a group.
However, this does not prevent the more general definition to be applied when necessary.
Sources
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $5$: Rings: $\S 20$. Cosets