Category:Definitions/Power Structures
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This category contains definitions related to Power Structures.
Related results can be found in Category:Power Structures.
Let $\struct {S, \circ}$ be an algebraic structure.
Let $\powerset S$ denote the power set of $S$.
Let $\circ_\PP$ denote the operation induced on $\powerset S$ by $\circ$ as follows:
- $\forall A, B \in \powerset S: A \circ_\PP B = \set {a \circ b: a \in A, b \in B}$
Then the resulting algebraic structure $\struct {\powerset S, \circ_\PP}$ is called the power structure of $\struct {S, \circ}$.
Pages in category "Definitions/Power Structures"
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