If $(G, *)$ is a group and $£$ is restriction of $*$ on subset $S$ of $G$. Is there some semi-group $(S, £)$ such that identity of $(S, £)$ and $(G, *)$ are different.
2026-03-25 19:04:16.1774465456
Semigroup of a group and identiy
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Yes, if for some elements in $G$ we have $g\cdot h = h$ then necessarily $g =e$ ( cancellation law).