Difference between revisions of "Subset"

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(Created page with "In mathematics, especially in set theory, a set A is a '''subset''' of a set B, or equivalently B is a superset of A, if A is "contained" inside...")
 
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The relationship of one set being a subset of another is called inclusion or sometimes containment.
 
The relationship of one set being a subset of another is called inclusion or sometimes containment.
  
The subset relation defines a [[partial order]] on sets.
+
The subset relation defines a [[partial ordered set]].
  
 
The [[algebra structure]] of subsets forms a [[Boolean algebra]] in which the subset relation is called [[Inclusion (Boolean algebra)|inclusion]].
 
The [[algebra structure]] of subsets forms a [[Boolean algebra]] in which the subset relation is called [[Inclusion (Boolean algebra)|inclusion]].
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* [[Containment order]]
 
* [[Containment order]]
* [[Partial order]]
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* [[Partial ordered set]]
 
* [[Set (mathematics)]]
 
* [[Set (mathematics)]]
  

Revision as of 09:19, 17 September 2016

In mathematics, especially in set theory, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B.

A and B may coincide.

The relationship of one set being a subset of another is called inclusion or sometimes containment.

The subset relation defines a partial ordered set.

The algebra structure of subsets forms a Boolean algebra in which the subset relation is called inclusion.

See also

External links