Let k be an algebraically closed field and a be a commutative associative algebra with an identity element 1 設(shè)a是代數(shù)閉域k上具有單位元1的交換結(jié)合代數(shù), d是由a的可交換的k -導(dǎo)子所張成的k -線性空間。
This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field . it also analyzes the relations between complex algebraic varieties and complex analytic varieties 本課程包括了代數(shù)閉域上代數(shù)簇的基本概念和結(jié)果,同時(shí)也討論了復(fù)代數(shù)簇和復(fù)解析簇之間的關(guān)系。
百科解釋
In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F[x], the ring of polynomials in the variable x with coefficients in F.