Unimodular rows over affine algebras over algebraic closure of a finite fieldUnimodular rownice group structurePROJECTIVE-MODULESIn this paper, we prove that if R is an affine algebra of dimension d >= 4 over (F) over bar (p), and 1/(d- 1)! is an element of R, then any unimodular ...
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...
E. M. Friedlander, “Unstable K-theories of the algbraic closure of a finite field,” Comment. Math. Helv.,50, No. 2, 145–154 (1975). Google Scholar E. M. Friedlander, “Etale K-theory I: Connections with etale cohomology and algebraic vector bundles,” Invent. Math.,60, No. ...
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 . ...
algebraic extension of a field 域的代数扩张 algebraic closure of a field 域的代数闭包 simple algebraic extension 单代数扩张 finite algebraic extension 有限代数扩张 separable algebraic extension 可分代数扩张 extension of a field 域的扩张 finite algebraic number field 有限代数数域 relative algeb...
[23, Proposition 2] Let F be a polynomial in {{\mathbb {F}}}_q[X,Y] and suppose that F=AB, A,B\in \overline{{{\mathbb {F}}}_q}[X,Y], where {\overline{{{\mathbb {F}}} is the algebraic closure of {\mathbb {F}}. Let P=(u,v) be a point in the affine plane...
Obviously F is finite. p36 Let a be a complex zero of x^2 + x + 1 over Q . Prove that Q(\sqrt a ) =Q(a) Answer: We know Q(a) \subseteq Q(\sqrt{a}) a^2+a+1 = 0 a^2+2a+1 = a (a+1)^2 =a \sqrt a = a+1 So Q(\sqrt a ) = Q(a) ...
Turbulence models are needed for the closure of Navier–Stokes equations because direct numerical simulation is not possible in the computation of practical real cases due to excessive computing times. In algebraic turbulence models no differential equations are employed but turbulent eddy viscosity is co...
finite algebraic number field 有限代数数域 relative algebraic number field 相对代数数域 algebraic number 代数数 algebraic number theory 代数数论 integral algebraic number 代数整数 algebraic number system 【计】 代数数系统 algebraic extension of a field 域的代数扩张 algebraic closure of a field...
3) algebraic closure 代数闭包4) algebraically closed field 代数闭域 1. In this paper,we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field. 研究了代数闭域上三维交换代数的分类。 2. A theorem of integral divisibility for multivariate polynomial ring C...