Category:Definitions/Subset Products
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This category contains definitions related to Subset Products.
Related results can be found in Category:Subset Products.
Let $\struct {S, \circ}$ be an algebraic structure.
We can define an operation on the power set $\powerset S$ as follows:
- $\forall A, B \in \powerset S: A \circ_\PP B = \set {a \circ b: a \in A, b \in B}$
This is called the operation induced on $\powerset S$ by $\circ$, and $A \circ_\PP B$ is called the subset product of $A$ and $B$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
P
- Definitions/Power Structures (1 P)
S
Pages in category "Definitions/Subset Products"
The following 3 pages are in this category, out of 3 total.