Category:Commutativity
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This category contains results about commutativity.
Definitions specific to this category can be found in Definitions/Commutativity.
Let $\circ$ be a binary operation.
Two elements $x, y$ are said to commute (with each other) if and only if:
- $x \circ y = y \circ x$
Subcategories
This category has the following 16 subcategories, out of 16 total.
Pages in category "Commutativity"
The following 56 pages are in this category, out of 56 total.
C
- Commutation of Inverses in Monoid
- Commutation Property in Group
- Commutation with Group Elements implies Commuation with Product with Inverse
- Commutation with Inverse in Monoid
- Commutative and Associative Product on Space of Distributions does not Exist
- Commutative Semigroup is Entropic Structure
- Commutativity of Powers in Group
- Commutativity of Powers in Monoid
- Commutativity of Powers in Semigroup
- Conjugate of Commuting Elements
- Count of Commutative Binary Operations on Set
- Count of Commutative Binary Operations with Fixed Identity
- Count of Commutative Binary Operations with Identity
- Count of Commutative Operations on Finite Set which are Closed on Every Subset
E
G
L
M
N
O
- Operation over which Every Commutative Associative Operation is Distributive is either Left or Right Operation
- Operation which is Left Distributive over Every Commutative Associative Operation is Right Operation
- Operation which is Right Distributive over Every Commutative Associative Operation is Left Operation
P
- Power of Product of Commutative Elements in Group
- Power of Product of Commutative Elements in Monoid
- Power of Product of Commutative Elements in Semigroup
- Power of Product of Commuting Elements in Monoid equals Product of Powers
- Power of Product of Commuting Elements in Semigroup equals Product of Powers
- Power Structure Operation on Set of Singleton Subsets preserves Commutativity
- Powers of Commutative Elements in Groups
- Powers of Commutative Elements in Semigroups
- Powers of Commuting Elements of Monoid Commute
- Powers of Commuting Elements of Semigroup Commute
- Powers of Field Elements Commute
- Powers of Group Element Commute
- Powers of Semigroup Element Commute
- Product of Commuting Elements with Inverses
- Product with Matrix Exponential of Commutative Matrices
- Properties of Inverses of Commuting Elements