Let J be a nil ideal in an algebra R over a field k of characteristic 0, and let G be the group 1 + J ⊆ U(R). For any y ∈ G and α ∈ k, define y^α = exp(α log(y)) ∈ G. Show that log(yα) = α log(y), (y^α)^β = y^αβ, and y^α*y^β = y^(α+β) for any α, β ∈ k.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
Leave a comment