# Category:Abstract Algebra

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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 113 subcategories, out of 113 total.

### A

- Absorption Laws (12 P)
- Additive Groups (empty)
- Additive Inverses (empty)
- Antiassociative Structures (3 P)
- Antihomomorphisms (empty)

### B

### C

- Constant Operation (6 P)

### D

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

### E

- Examples of Abstract Algebra (1 P)
- Examples of Words (3 P)

### F

- Formal Laurent Series (empty)
- Frobenius's Theorem (6 P)

### G

- Group Rings (1 P)

### H

- Huntington Algebras (empty)

### I

- Index Laws (39 P)
- Invariant Theory (empty)

### K

- Kummer Theory (empty)

### L

### 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)

### S

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

### T

### U

- Unity (empty)

### V

### W

- Words (Abstract Algebra) (1 P)

### Z

- Zero Elements (10 P)

## Pages in category "Abstract Algebra"

The following 31 pages are in this category, out of 31 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