# Category:Abstract Algebra

Jump to navigation
Jump to search

This category contains results about Abstract Algebra.

Definitions specific to this category can be found in Definitions/Abstract Algebra.

**Abstract algebra** is a branch of mathematics which studies algebraic structures and algebraic systems.

It can be roughly described as the study of sets equipped with operations.

## Subcategories

This category has the following 108 subcategories, out of 108 total.

### A

- Additive Groups (empty)
- Additive Inverses (empty)
- Antiassociative Structures (3 P)
- Antihomomorphisms (empty)

### B

### C

- Closed Algebraic Structures (8 P)
- Constant Operation (3 P)

### D

- Differential Algebra (empty)
- Direct Sums (1 P)
- Discriminants (empty)

### E

- Entropic Structures (3 P)
- Examples of Abstract Algebra (1 P)
- Examples of Words (3 P)
- External Direct Products (16 P)

### F

- Formal Laurent Series (empty)

### G

- Group Rings (1 P)

### H

- Huntington Algebras (empty)

### I

- Index Laws (27 P)
- Invariant Theory (empty)

### K

- Kummer Theory (empty)

### L

- Left Operation (15 P)

### M

- Magmas of Sets (5 P)
- Monoid Rings (empty)

### N

- Nilpotence (1 P)

### O

### P

- Parenthesization (6 P)
- Peano's Axioms (12 P)
- Product Inverse Operation (11 P)

### R

- Representation Theory (11 P)
- Right Operation (15 P)

### S

- Self-Inverse Elements (3 P)
- Semidirect Products (4 P)
- Square Mapping (empty)

### T

- Tensor Theory (empty)

### U

- Unity (empty)

### V

### W

- Words (Abstract Algebra) (1 P)

### Z

- Zero Elements (10 P)

## Pages in category "Abstract Algebra"

The following 41 pages are in this category, out of 41 total.

### A

### C

- Count of Binary Operations on Set
- Count of Binary Operations with Fixed Identity
- Count of Binary Operations with Identity
- Count of Binary Operations Without Identity
- Count of Commutative Binary Operations on Set
- Count of Commutative Binary Operations with Fixed Identity
- Count of Commutative Binary Operations with Identity

### E

### F

### M

- Mappings to Algebraic Structure form Similar Algebraic Structure
- Mappings to R-Algebraic Structure form Similar R-Algebraic Structure
- Monoid Ring of Commutative Monoid over Commutative Ring is Commutative
- Morphism from Ring with Unity to Module
- Multilinear Mapping from Free Modules is Determined by Bases