finite algebraic number field 有限代数数域 relative algebraic number field 相对代数数域 absolute algebraic number field 绝对代数数域 a fair field 公平的比赛,公平竞争;公平的机会 a fair field and no favor n.平等的比赛条件 closure of a set 集的闭包 相似...
Let K be a finite extension field of the field E and let E be a finite extension field of the field F . Then K is a finite extension field of F and [K:F] = [K:E][E:F] Proof: Let X = \{x_1,...,x_n\} be a basis for K over E . Let Y = \{y_1,...,y_m...
E. Friedlander , Unstable K-theories of the algebraic closure of a finite field . Comment. Math. Helvetici 50 (1975), 145–154.E. Friedlander, Unstable K-theories of the algebraic closure of a finite field, Com- ment. Math. Helv. 50 (1975), 145-154...
他是在阅读了 FAC 的基础上给出了不牵扯到 sheaf 的有关 variety 的定义,在他的文章 Definition of Algebraic Variety 里面他还给出了 spectra of algebra of finite type 的定义。 他定义的 spectra 跟现在的还是有些不一样的,首先我们给出一个域 k ,然后让 K 是它的 algebraic closure,对于 k 上的有限...
Algebraic Closure For any extension[formula] of a field [formula], the subfield of [formula] of the elements that are algebraic over [formula] is called the algebraic closure of [formula] in [formula]. A field that has no proper algebraic extension is called algebraically closed. ...
Related to Algebraic Number:Algebraic number field,Algebraic number theory number number,entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers Cardinal numbers describe the size of a collection of objects; two such collections have the...
Let $k $ be the algebraic closure of a finite field of odd characteristic $p$ and $X$ a smooth projective scheme over the Witt ring $W(k)$ which is geometrically connected in characteristic zero. We introduce the notion of Higgs-de Rham flow and prove that the category of periodic ...
Field axioms axiom 1 Closure: the combination (hereafter indicated by addition or multiplication) of any two elements in the set produces an element in the set. axiom 2 Addition is commutative: a + b = b + a for any elements in the set. axiom 3 Addition is associative: a + (b ...
An Overwiev of the Number of Points of Algebraic Sets over Finite Fields We determine an upper bound on the number of rational points of an affine or projective algebraic set defined over an algebraic closure of a finite field b... G Lachaud,R Rolland 被引量: 0发表: 2014年 The Degree ...
If ℱ is a finite set, the resulting shift space is called a subshift of finite type [29] or an intrinsic or a topological Markov chain [30]. A wider class of finitely-definable shift spaces are the sofic shifts. These are the closure of subshifts of finite type under continuous loca...