Algebra theory MOC

Quotient algebra

Given a two-sided ideal 𝐼 ≤𝐴 of an algebra (𝐴, ∗) over a field 𝕂, the quotient algebra 𝐴/𝐼 is the Quotient vector space with the well-defined product falg

(𝑎+𝐼)∗(𝑏+𝐼)=𝑎∗𝑏+𝐼

Special cases

• Quotient Lie algebra

---

tidy | en | SemBr