冪級數環 的英文怎麼說

中文拼音 [mìjíshǔhuán]
冪級數環 英文
power series ring
  • 冪 : Ⅰ名詞1. [書面語] （覆蓋東西的巾） cloth cover2. [數學] （表示一個數自乘若干次的形式） power Ⅱ動詞[書面語] （覆蓋; 罩） cover with cloth
  • 級 : Ⅰ名詞1 （等級） level; rank; grade 2 （年級） any of the yearly divisions of a school course; gra...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 環 : Ⅰ名詞1 （環子） ring; hoop 2 （環節） link 3 （姓氏） a surname Ⅱ動詞（圍繞） surround; encircle;...
  • 級數 : [數學] progression; series; number of stages; number of steps; stage number級數變換 transformatio...
  1. In the third chapter, we study the annihilator ideals of power series and ore extensions on noncommutative rings and generalize [ 13, proposition 3. 1 ]

    1 ] ，考慮ore擴張、冪級數環、斜冪級數環和迭代斜laurent多項式環上的情形，得出定理3
  2. Some properties of generalized power series extention of rings

    環的廣義冪級數擴張的若干性質
  3. In this thesis, we will discuss the homological dimension and homological properities of rings and modules which is one of the most impertinent parts in homological theory. in the first chapter, we investigate the relation of homological properities between ring r. [ [ x ] ] and ring r, we prove that a module m is an injective or a flat r - module, then it is an injective or a flat r [ [ x ] ] - module respectively, and if m is an injective or a flat r - module, then hom ( r [ [ x ] ], m ) is an injective r [ [ x ) ] - module, r. [ [ x } ] m is a flat r { [ x ] } - module

    在第一章中，我們主要研究了冪級數環r [ [ x ] ]與環r上的模的平坦性與內射性之間的關系。證明了當只是一個完全凝聚交換環時，如果m是一個內射或平坦r [ x ] -模，則m是一個內射或平坦r -模。如果m是一個平坦r -模，則r [ x ] _ rm是一個平坦r [ x ] -模。
  4. In theorem 3 of this chapter, we prove that homological properities and homological dimensions of residue ring play very important roles. the homological properities and homological dimension of coordinate ring have been studied in the thesis of doctor yang jing - hua. in the second chapter, we generalize the results of coordinate ring to power se - ries residue ring

    楊靜化在其博士論文中對坐標環進行了同調刻畫。我們在楊靜化的博士論文基礎上，把坐標環的同調性質和同調維數的相關結論推廣到了冪級數剩餘類環上。
  5. Factorization in rings of generalized power series over integral domains

    整環上廣義冪級數環的分解性質
  6. All the contents are developed around a set of scaling laws taking the form of exponentials which relate to almost all the issues of complexity including fractals, chaos, strange attractors, localization, and symmetry breaking, etc. the main work can be summarized as follows : starting from the law of allmetric growth three fractal dimensions in a broad sense are derived, and according to these dimensions, geographical space is divided into three levels, i. e., real space, phase space, and order space, each of which corresponds to a kind of dimension. based on the idea of spatial disaggregation and using the rmi ( relationship - mapping - reversion ) principle, the urban system is formulated as three scaling laws of the three spaces, including number law, size law, and area law, which can be transformed into a set of power laws such as allometric law and zipf ’ s law associated with fractal structure

    從異速生長律的縱向、橫向和切向三個角度將地理空間劃分為實空間、相空間和序空間，分別對應于空間系列、時間序列和等級序列三個層面，每個層面的測度各有自己的空間維度。基於「空間循環細分-等級體系-網路結構」的數理等價關系，利用rmi （關系-映射-反演）原則，成功地實現了城市系統宏觀模型的理論抽象，將空間復雜性問題表徵為簡單的指數式標度定律（包括數量律、規模律和尺度律） ，這一組標度律可以與一組冪次定律（包括具有分形性質的規模-數目律、異速生長定律和三參數zipf定律）互為變換。
  7. Prime ideals and the prime radical of rings of generalized power series

    廣義冪級數環的素理想和素根
  8. Special properties of rings of twisted generalized power series

    帶扭結的廣義冪級數環的特殊性質
  9. In the end, we study bare and pp rings of generalized power series on commutative and noncommutative rings

    第四章分交換和非交換兩種情況考慮了廣義冪級數環上的bare性和pp性，主要是把[ 26 ，定理2
  10. The homlogical dimensions of the residue rings of power series rings

    冪級數剩餘類環的同調維數
  11. Convergent power series ring

    收斂冪級數環
  12. Generalized power series extension and triangular matrix extension of ring

    環的廣義冪級數擴張與三角矩陣擴張
  13. In the second chapter, we will study pp and ps rings of ore extensions. the main work is to generalize one of the results of chan [ 12 ]

    第二章研究了ore擴張的ps性和斜冪級數環上的pp性，推廣了chan [ 12 ]的一個結果。
  14. This paper consists of four chapters. the aim of this paper is to study bare and pp rings ect. of polynomial rings and deformated polynomial rings ( ore extensions, skew power series, generalized power series ect. )

    本文共分四章，主要研究了多項式環及形變多項式環（ ore擴張、斜冪級數環、廣義冪級數環等）的bare性、 quasi - bare性和pp性等。
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