Abstract Algebra (AQA A-Level Further Maths): Flashcards

System where numbers wrap around after reaching a modulus

Is congruent to

Same remainder when divided by $n$

$a+c \equiv b+d \pmod{n}$

$ac \equiv bd \pmod{n}$

$a^k \equiv b^k \pmod{n}$

Results of operation for all pairs of elements in a set

Leaves other elements unchanged when operation is applied

0

Element that combines with original to produce identity