Category:Modulo Arithmetic
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This category contains results about Modulo Arithmetic.
Definitions specific to this category can be found in Definitions/Modulo Arithmetic.
Modulo arithmetic is the branch of abstract algebra which studies the residue class of integers under a modulus.
As such it can also be considered to be a branch of number theory.
Subcategories
This category has the following 28 subcategories, out of 28 total.
A
C
- Congruence of Quotient (3 P)
D
E
- Examples of Modulo Operation (17 P)
I
M
- Modulo Subtraction (1 P)
P
- Powers of 16 Modulo 20 (3 P)
- Powers of 3 Modulo 8 (3 P)
R
- Restricted Dipper Operations (3 P)
- Restricted Dipper Relations (4 P)
S
- Square Modulo 3 (4 P)
W
- Wilson's Theorem (13 P)
Pages in category "Modulo Arithmetic"
The following 72 pages are in this category, out of 72 total.
C
- Cancellability of Congruences
- Chinese Remainder Theorem
- Chinese Remainder Theorem/Warning
- Common Factor Cancelling in Congruence
- Congruence by Divisor of Modulus
- Congruence by Divisor of Modulus/Integer Modulus
- Congruence by Product of Moduli
- Congruence by Product of Moduli/Real Modulus
- Congruence Modulo Integer is Equivalence Relation
- Congruence Modulo Negative Number
- Congruence Modulo Real Number is Equivalence Relation
- Congruence Modulo Zero is Diagonal Relation
- Congruence of Powers
- Congruence of Product
- Congruence of Quotient
- Congruent Integers less than Half Modulus are Equal
- Congruent Numbers are not necessarily Equal
- Congruent to Zero iff Modulo is Divisor
- Cube Modulo 9
E
F
I
- Integer Coprime to Modulus iff Linear Congruence to 1 exists
- Integer Coprime to Modulus iff Linear Congruence to 1 exists/Corollary
- Integer has Multiplicative Order Modulo n iff Coprime to n
- Integer is Congruent Modulo Divisor to Remainder
- Integer is Congruent Modulo Divisor to Remainder/Corollary
- Integer is Congruent to Integer less than Modulus
- Integer of form 6k + 5 is of form 3k + 2 but not Conversely
- Integer to Power of p-1 over 2 Modulo p
- Intersection of Congruence Classes
L
M
N
P
Q
R
S
- Solution of Linear Congruence
- Solution to Simultaneous Linear Congruences
- Solutions of Polynomial Congruences
- Square Modulo 3
- Square Modulo 4
- Square Modulo 5
- Square Modulo 5/Corollary
- Square Modulo 8
- Square Modulo n Congruent to Square of Inverse Modulo n
- Square of Modulo less One equals One
- Sufficient Condition for 5 to divide n^2+1