冪等環 的英文怎麼說

中文拼音 [mìděnghuán]
冪等環 英文
idempotent 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
  • 等 : Ⅰ量詞1 （等級） class; grade; rank 2 （種; 類） kind; sort; type Ⅱ形容詞（程度或數量上相同） equa...
  • 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;...
  1. On idempotent and nilpotent matrices over commutative rings

    關于交換環上的冪等陣與冪零陣
  2. Theorem 1. 3. 3 5 is an a - idempotent semiring, then 5 is a normal idem - potent semiring, if and only if s is a strong semilattice idempotent semiring of rectangular idempotent semirings

    定理j設s是人一冪等半環，則s是正規冪等半環，當且僅當s是矩形冪等半環的強半格冪等半環
  3. Also, by the means of the pattern of matrix and the pattern of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors

    另外，利用矩陣模式和運算元模式等工具，我們在非負無零因子半環上刻畫了強保持冪零的線性運算元和強保持可逆的線性運算元
  4. 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。
  5. Theorem 1. 2. 5 a semiring s is a normal a - idempotent semiring, if and only if s is a strong right normal idempotent semiring of left zero idempotent semirings

    5半環s是正規a -冪等半環，當且僅當s是左零冪等半環的強右正規冪等半環。定理1
  6. Theorem 2. 2. 4 a semiring s is an additive normal c - idempotent semiring, if and only if s is a pseudo - strong right normal idempotent semiring of left zero semirings

    4s是加法正規c一冪等半環，當且僅當s是左零半環的偽強右正規冪等半環定理2
  7. Theorem 3. 3 s is a " d - idempotent semiring, then s is an additive normal idempotent semiring, if and only if s is a pseudo - strong right normal idempotent semiring of left zero semirings

    3s是d一冪等半環，則s為加法正規冪等半環，當且僅當s是左零半環的偽強右正規冪等半環
  8. And by this we have the structure of the normal idempotent semiring which satisfies the identity ab + b = a + b arises as a strong right normal idempotent semiring of left zero idempotent semirings, and some corollaries

    利用這一結構證明了滿足等式ab + b = a + b的正規冪等半環是左零冪等半環的強右正規冪等半環，及相關推論。
  9. And in the last chapter, we also have the idempotent semiring which satisfies the identity a + ab + a = a + b is an additive normal idempotent semiring, if and only if it is a pseudo - strong right normal idempotent semiring of left zero semirings, and other corollaries

    第三章，證明了滿足等式a + ab + a = a + b的冪等半環是加法正規的，當且僅當它是左零半環的偽強右正規冪等半環，及相關推論。
  10. In the second chapter, we give the definition of the pseudo - strong right normal idem - potent semiring of v ? semirings. and we have the additive normal idempotent semiring which satisfies the identity a + ab = a + b arises as a pseudo - strong right normal idempotent semiring of left zero semirings

    第二章，與第一章平行地構造了v -半環的偽強右正規冪等半環，由這一結構證明了滿足等式a + ab = a + b的加法正規冪等半環是左零半環的偽強右正規冪等半環。
  11. Theorem 1. 2. 9 s is a direct product of a normal a - idempotent semiring and a commutative ring with an identity 1, if and only if s is a strong right normal idempotent semiring of a - left rings

    Gs是正規人一冪等半環和含么交換環的直積，當且僅當s是a一左環的強右正規冪等半環
  12. On a problem related to idempotent semiring

    關于冪等元半環理論中的一個問題
  13. Theorem 3. 6 s is a direct product of an additive left normal d - idempotent semiring and a ring, if and only if 5 is a pseudo - strong lattice idempotent semiring of left rings

    定理3 6s是加法左正規d一冪等半環和環的直積，當且僅當s是左環的偽強半格冪等半環
  14. On diagonalization of idempotent matrices over apt rings

    環上冪等陣的對角化
  15. On weak completely idempotent rings

    關於弱全冪等環
  16. On completely idempotent rings

    完全冪等環
  17. It is obtained that the integer completely idempotent rings are fields. two characterization are gained that the completely idempotent rings with element are l - semisimple and b - semisimple. a class of finite completely idempotent rings is solved with | r | - p2

    首先得出整完全冪等環是域的結論，其次給出有單位元的完全冪等環的兩個刻劃，即有單位的完全冪等環是l -半單的， b -半單的，最後給出了一類有限完全冪等環的結構
  18. Properties on - left semicentrial idempotent elements and skew polynomial rings

    左半中心冪等元和斜多項式環的性質
  19. 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。
  20. On some properties of - left semicentral idempotents

    關于斜多項式環的左半中心冪等元的性質
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