# Category:Algebraic structures

Computing portal |

Here is a list of articles in the Algebraic structures category of the Computing portal that unifies foundations of mathematics and computations using computers. In algebra, a branch of pure mathematics, an **algebraic structure** consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The notion of algebraic structure has been formalized in universal algebra.

## Subcategories

This category has the following 6 subcategories, out of 6 total.

### A

### F

### L

### N

### O

### P

## Pages in category "Algebraic structures"

The following 106 pages are in this category, out of 106 total.

- Algebraic structure
*(computing)*

### A

- Action algebra
*(computing)* - Additive group
*(computing)* - Affine monoid
*(computing)*

### B

- Baer *-semigroup
*(computing)* - Band (algebra)
*(computing)* - Band (mathematics)
*(computing)* - Baumslag–Gersten group
*(computing)* - BCK algebra
*(computing)* - BF-algebra
*(computing)* - Biordered set
*(computing)* - Biquandle
*(computing)* - Boolean algebra (structure)
*(computing)*

### C

- C-semiring
*(computing)* - Cancellative semigroup
*(computing)* - Class of groups
*(computing)* - Clifford semigroup
*(computing)* - Commutative ring
*(computing)* - Complete Heyting algebra
*(computing)* - Completely regular semigroup
*(computing)* - Composition ring
*(computing)*

### D

- Damm algorithm
*(computing)* - Domain (ring theory)
*(computing)* - Double groupoid
*(computing)*

### E

- E-dense semigroup
*(computing)* - E-semigroup
*(computing)* - Effect algebra
*(computing)* - Elliptic algebra
*(computing)* - Empty semigroup
*(computing)* - Epigroup
*(computing)* - Essential dimension
*(computing)* - Exponential field
*(computing)* - Exponentially closed field
*(computing)*

### F

- Field (mathematics)
*(computing)* - Finite lattice representation problem
*(computing)* - Finitely generated abelian group
*(computing)* - Foulis semigroup
*(computing)*

### G

- Generic matrix ring
*(computing)* - Grothendieck group
*(computing)* - Group (mathematics)
*(computing)* - Groupoid
*(computing)*

### H

- Hardy field
*(computing)*

### I

- I-semigroup
*(computing)* - Ideal (ring theory)
*(computing)* - Infrastructure (number theory)
*(computing)* - Integral closure of an ideal
*(computing)* - Integral element
*(computing)* - Inverse semigroup
*(computing)*

### J

- J-structure
*(computing)* - Jónsson–Tarski algebra
*(computing)*

### K

- Kasch ring
*(computing)* - Kleene algebra
*(computing)*

### L

- Lattice (order)
*(computing)* - Lindenbaum–Tarski algebra
*(computing)*

### M

- Magma (algebra)
*(computing)* - Matrix field
*(computing)* - Matrix ring
*(computing)* - Matrix semialgebra
*(computing)* - Matrix semiring
*(computing)* - Module (mathematics)
*(computing)* - Monogenic semigroup
*(computing)* - Monoid
*(computing)* - Monus
*(computing)* - Moufang polygon
*(computing)* - Multiplicative group
*(computing)* - MV-algebra
*(computing)*

### N

- N-ary group
*(computing)* - Near-field (mathematics)
*(computing)* - Near-semiring
*(computing)* - Nowhere commutative semigroup
*(computing)* - Numerical semigroup
*(computing)*

### O

- Ordered exponential field
*(computing)* - Outline of algebraic structures
*(computing)*

### P

- Partial algebra
*(computing)* - Partial groupoid
*(computing)* - Planar ternary ring
*(computing)* - Pointed set
*(computing)* - Pregroup
*(computing)* - Primitive ring
*(computing)* - Pseudo-ring
*(computing)* - Pseudocomplemented lattice
*(computing)* - Pseudogroup
*(computing)*

### Q

- Quantum differential calculus
*(computing)* - Quantum groupoid
*(computing)*

### R

- Racks and quandles
*(computing)* - Rational monoid
*(computing)* - Regular semigroup
*(computing)* - Ring (mathematics)
*(computing)* - Rng (algebra)
*(computing)*

### S

- Semifield
*(computing)* - Semigroup
*(computing)* - Semigroup with involution
*(computing)* - Semigroup with three elements
*(computing)* - Semigroup with two elements
*(computing)* - Semigroupoid
*(computing)* - Semilattice
*(computing)* - Semimodule
*(computing)* - Semiprimitive ring
*(computing)* - Semiring
*(computing)* - Simplicial commutative ring
*(computing)* - Special classes of semigroups
*(computing)* - Symmetric inverse semigroup
*(computing)*

### T

- Torsion-free abelian group
*(computing)* - Trivial semigroup
*(computing)*

### U

- U-semigroup
*(computing)*

### V

- Variety of finite semigroups
*(computing)*