Algèbre générale - Dartmouth Math Home

(R,×) (R+,×)
(R+,+) (R−,×)
ϕ:G1−→ G2ϕ ϕ
G1G2
R7−→ R+
R7−→ R∗
+
R∗
+R
Z[X]Q[X]
exp log
Z
G∀g∈G, g2= 1
G
G H G a ∈G
a−1Ha G
aH G
G P ∈ Pf(G)P.P ⊂P P
G
p x 7→ px P
Xx={σ∈S(X)|σ(x) = x}
x∈XxS(X)

A x, y ∈A
x y x y xy
x y x y x +y
xy yx
x1−x
Z[i] = {a+ib , (a, b)∈Z2}
Z[i]C
Z[i]
CM2(R)a b
−b a 
(a, b)∈R
Cι ι2= 1
CC
Q