Category:Monoids
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This category contains results about Monoids.
Definitions specific to this category can be found in Definitions/Monoids.
A monoid is a semigroup with an identity element.
Subcategories
This category has the following 13 subcategories, out of 13 total.
Pages in category "Monoids"
The following 53 pages are in this category, out of 53 total.
C
- Cancellable Elements of Monoid form Submonoid
- Commutation of Inverses in Monoid
- Commutation with Inverse in Monoid
- Commutativity of Powers in Monoid
- Condition for Cosets of Subgroup of Monoid to be Partition
- Condition for Partition between Invertible and Non-Invertible Elements to induce Congruence Relation on Monoid
- Condition for Subgroup of Monoid to be Normal
- Conjugate of Commuting Elements
F
I
- Identity of Monoid is Cancellable
- Identity of Monoid is Unique
- Index Laws for Monoid
- Index Laws for Monoid/Product of Indices
- Index Laws for Monoid/Sum of Indices
- Index Laws for Monoids
- Index Laws for Monoids/Negative Index
- Index Laws for Monoids/Product of Indices
- Index Laws for Monoids/Sum of Indices
- Index Laws/Product of Indices/Monoid
- Index Laws/Sum of Indices/Monoid
- Inverse in Monoid is Unique
- Inverse of Commuting Pair
- Inverse of Inverse in Monoid
- Inverse of Inverse/Monoid
- Inverse of Product in Associative Structure
- Inverse of Product in Monoid
- Inverse of Product/Monoid
- Inverse of Product/Monoid/General Result
- Invertible Element of Monoid is Cancellable
- Invertible Elements of Monoid form Subgroup
- Invertible Elements of Monoid form Subgroup of Cancellable Elements
P
- Power of Identity is Identity
- Power of Product of Commutative Elements in Monoid
- Power of Product of Commuting Elements in Monoid equals Product of Powers
- Power Structure of Monoid is Monoid
- Powers of Commutative Elements in Monoids
- Powers of Commuting Elements of Monoid Commute
- Product of Commuting Elements in Monoid is Unit iff Each Element is Unit
- Product of Commuting Elements in Monoid is Unit iff Each Element is Unit/Proof 1
- Product of Commuting Elements in Monoid is Unit iff Each Element is Unit/Proof 2
- Product of Commuting Elements with Inverses