# Category:Algebra

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This category contains results about Algebra.

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

**Algebra** is the branch of mathematics which studies the techniques of manipulation of objects and expressions.

## Subcategories

This category has the following 72 subcategories, out of 72 total.

### A

- Abel's Lemma (13 P)
- Absolute Numbers (1 P)
- Aurifeuillian Factorizations (2 P)

### B

- Bound Variables (5 P)

### C

### D

- Difference of Two Squares (8 P)
- Discriminants (empty)
- Double Factorials (1 P)

### E

### F

- Free Variables (4 P)

### G

### H

- Harmonic Mean (5 P)
- Harmonic Sequences (1 P)
- Homogeneous Functions (1 P)

### L

### M

- Mediants (3 P)
- Multinomial Coefficients (2 P)

### N

- Nicomachus's Theorem (3 P)

### P

- Proportion (7 P)
- Prosthaphaeresis (20 P)

### S

- Square Function (19 P)
- Square of Difference (4 P)
- Square of Sum (4 P)
- Square of Sum less Square (4 P)
- Square of Sum with Double (4 P)

### T

### U

### V

## Pages in category "Algebra"

The following 63 pages are in this category, out of 63 total.

### A

### C

### D

### F

### M

- Mahler's Inequality
- Minkowski's Inequality
- Minkowski's Inequality for Sums
- Minkowski's Inequality for Sums/Corollary
- Minkowski's Inequality for Sums/Index 2
- Minkowski's Inequality for Sums/Index Greater than 1
- Minkowski's Inequality for Sums/Index Less than 1
- Multinomial Theorem
- Multiples of Divisors obey Distributive Law

### P

### R

### S

- Schur's Inequality
- Square of Sum less Square
- Square of Sum with Double
- Square Root of Sum as Sum of Square Roots
- Subtraction of Divisors obeys Distributive Law
- Subtraction of Multiples of Divisors obeys Distributive Law
- Sum Less Maximum is Minimum
- Sum Less Minimum is Maximum
- Sum of Cubes of Three Indeterminates Minus 3 Times their Product
- Sum of Maximum and Minimum
- Sum of Square Roots as Square Root of Sum
- Sum of Squares as Product of Factors with Square Roots
- Sum of Squares of Sum and Difference
- Sum of Two Cubes in Complex Domain
- Sum of Two Odd Powers