Category:Magmas of Sets
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This category contains results about Magmas of Sets.
Definitions specific to this category can be found in Definitions/Magmas of Sets.
Let $X$ be a set.
Let $\SS \subseteq \powerset X$ be a set of subsets of $X$.
Let $I$ be an index set.
For every $i \in I$, let $J_i$ be an index set, and let:
- $\phi_i: \powerset X^{J_i} \to \powerset X$
be a partial mapping.
Then $\SS$ is a magma of sets for $\set {\phi_i: i \in I}$ on $X$ if and only if:
- $\forall i \in I: \map {\phi_i} {\family {S_j}_{j \mathop \in J_i} } \in \SS$
for every indexed family $\family {S_j}_{j \mathop \in J_i} \in \SS^{J_i}$ in the domain of $\phi$.
Pages in category "Magmas of Sets"
The following 5 pages are in this category, out of 5 total.