noether meaning in English
纳脱
Examples
- Noether ' s theory of mechanical systems with unilateral constraints
广义不确定性系统概念及其基本原理 - They study the duality and selfduality of rings such as extensions of a ring with a morita duality ( or selfduality ) , noether rings , series rings , endomorphism rings and so on
他们研究环扩张， noether环，序列环，自同态环等的对偶性及自对偶。上个世纪九十年代， c menini和a - At first a lot of new characterizations of gorenstein injective modules are given , then the author claim that a ring r is qf if and only if every left ( or right ) r - modules are gorenstein injective , and then show that if r is two - side noetherian , r is n - gorenstein if and only if every n - th cosyzygy of an injective resolution of a left ( and right ) r - module is gorenstein injective if and only if every n - th syzygy of an injective resolvent of a left ( and right ) right module is gorenstein injective . finally , we prove that for an n - gorenstein ring r with n > 0 , every module can be embedded in a gorenstein injective module and the injective dimension of its cokernel is at most n - 1
首先给出了gorenstein内射模的许多新的刻画，推出了环r是qf环当且仅当每个左(右)的r -模的单边内射分解式的第n个上合冲是gorenstein内射模，接着推出了左、右noether环只是n - gorenstein环当且仅当每个左(右)模的单边内射分解式的第n个上合冲是gorenstein内射模当且仅当每个左(右)模的单边内射预解式的第n合冲是gorenstein内射模，最后推出了n - gorenstein环中每个模都可嵌入到一个gorenstein内射模之中，且其上核的内射维数不大于n - 1 。 - The thesis deduces the generating functional of proper vertexes and brst transformation of the system of matter field coupling to non - abel gauge field , gives noether conservation charge of brst transformation , shows up the model ' s brst transformation when the gauges are lorentz , coulomb and radiation gauges , respectively , finishes the brst quantization of ghost field in ( 1 + 2 ) dimensions model with non - abel chern - simons term coupling to the scalar field , achieves the lagrange density and hamilton density under brst transformation
导出了物质场与非abel规范场耦合系统的brst变换以及此变换下的ward恒等式和正规顶角的生成泛函，给出了其brst变换下的noether守恒荷。针对lorentz规范、库伦规范、辐射规范三种情况分别给出了此模型的brst变换，并得到了自洽的结果。完成了( 1 + 2 )维时空中非abelchern - simon项和标量场耦合系统中鬼场的brst量子化，得到了brst变换下的noether荷和其对应的拉氏量和哈密顿量。