commutative algebra 中文意思是什麼

commutative algebra 解釋
交換代數
  1. The central notion in commutative algebra is that of a prime ideal.

    交換代數中最核心的概念就是素理想。
  2. In this paper, the folio wings are introduced briefly : holonomic theory ; the basic idea that d. zeilberger used to prove identities using holonomic theory. and wu method is generalized to the non - commutative weyl algebra. furthermore, dialytic method of elimination is replaced by wu method, so the prove can be extended from the single - variable hypergeometric identities to multi - variable ones

    本文簡要介紹了完整性理論， d . zeilberger利用完整性理論證明恆等式的基本思想，將吳方法推廣到不可交換的weyl代數上，用吳方法取代了d . zeilberg在證明完整性函數恆等式的理論框架中的析配消元法，從而將這種證明理論由單變量超幾何恆等式的證明擴展到多變量超幾何恆等式的證明。
  3. The aim of this paper is to given an explicit description of the derivations and automor phisms of a matrix algebra over a commutative ring with identity

    摘要決定了含幺可換環上一類矩陣代數的所有導子和所有自同構。
  4. Let k be an algebraically closed field and a be a commutative associative algebra with an identity element 1

    設a是代數閉域k上具有單位元1的交換結合代數， d是由a的可交換的k -導子所張成的k -線性空間。
  5. Let d be a nonzero k - vector space of commuting - derivations of a. kaim - ing zhao and yucai su studied the associative algebra a [ d ] = ak [ d ] of weyl type constructed from the pair of a commutative associative algebra. 4 and its commutative derivation subalgebra d over a field k of arbitrary characteristic

    趙開明和蘇育才研究了任意特徵的域上具有單位元的交換結合代數a和它的交換導子的子空間d所構造的weyl型代數。他們證明了a [ d ]是單lie代數的充分必要條件是a是d -單的且k _ 1 [ d ]忠實地作用在a上。
  6. Eisenbud, david. commutative algebra with a view toward algebraic geometry. vol. 150, graduate texts in mathematics. new york : springer - verlag, 1994. isbn : 0387942696

    《用代數幾何的觀點的交換代數》 。研究生數學教材第150卷。紐約：斯普林格出版社， 1994年版。書號： 0387942696 。
  7. It is implied by the associative and commutative transformations permitted in relational algebra

    它由關系代數中允許的關聯轉換和交換轉換表示。
  8. 4. 2 theorem : let e is an extension of h - module algebras, is the system from e, then we have : 4. 3 b is a commutative h - module bialgebra. m is a commutative h module algebra

    然後給出了正則h一模代數擴張的定義及擴張正則的一個充要條件： 53 、定理： ji為交換的h一模代數， b為余交換的h一模hopf代數，對極為fb ，令： （ c
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