Category:Operations Induced by Permutations
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This category contains results about Operations Induced by Permutations.
Let $\struct {S, \circ}$ be an algebraic structure on a set $S$.
Let $\sigma: S \to S$ be a permutation on $S$.
Let $\circ_\sigma$ be the operation on $S$ defined as:
- $\forall x, y \in S: x \circ_\sigma y := \map \sigma {x \circ y}$
Then $\circ_\sigma$ is the operation (on $S$) induced by $\sigma$.
Pages in category "Operations Induced by Permutations"
The following 7 pages are in this category, out of 7 total.
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- Structure Induced by Permutation on Algebra Loop is not necessarily Algebra Loop
- Structure Induced by Permutation on Commutative Quasigroup is Commutative Quasigroup
- Structure Induced by Permutation on Quasigroup is Quasigroup
- Structure Induced by Permutation on Semigroup is not necessarily Semigroup