polynomial ring 中文意思是什麼

polynomial ring 解釋
多項式環
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  • ring : n 1 圈，環，輪；戒指，指環，耳環，鼻圈，鐲子（等）；【運】吊環。2 輪狀物；【植物；植物學】年輪；...
  1. The main results are listed in the following : it is proved that the ring consisting of all block circulant matrices over a field is isomorphic to a factor ring of a polynomial ring in multivariables over the same field

    具體內容如下： ?證明了域上的所有塊循環矩陣組成的環同構于其上的多元多項式環的一個商環。
  2. So finding the minimal polynomial of a block circulant matrix is transformed into computing the reduced grobner basis of a kernel of a ring homomorphism

    因此，將求域上塊循環矩陣的極小多項式轉化為求一個環同態的核的簡化gr （
  3. Monadic polynomial ring of domain

    整環上的一元多項式環
  4. An estimation of the number of generators of an ideal in a polynomial ring with two variables

    二元多項式環中理想生成元個數的估計
  5. The minimal polynomial of element in the innerproduct module - ring

    內積模環中元的最小多項式
  6. An algorithm for grobner basis for an ideal of a polynomial ring over a group algebra of a finite group over a field is given

    ?給出了準確計算域上有限群的群代數上的多項式環的理想的gr （ ? ） bner基的演算法。
  7. The aim of this paper is to study the applications of grobner bases in finding the minimal polynomial of a given matrix and its inverse if it is nonsingular and to discuss selfdualities over a polynomial ring

    ） bner基理論在求矩陣極小多項式，判定矩陣可逆性和求逆矩陣等方面的應用，並討論了多項式環的分次自對偶問題。
  8. Graded triangular extensions and graded trivial extensions over a ring are defined respectively, and the relation between them with grade morita dualities and their initial subrings with morita dualities is discussed. the graded selfduality of a polynomial ring in multivariables over a cogenerator ring as a graded ring of type different group i

    ?討論了餘生成子環上的多元多項式環作為不同群的分次環的分次自對偶問題，並證明了有自對偶的環的一種特殊的分次三角擴張有分次自對偶
  9. In the paper, the properties of matching polynomial and matching unque, and y - graph is not matching unque, and matching polynomial of snake tree and ring graph, ets

    摘要文章主要研究特殊圖的匹配多項式唯一的性質，得到了星圖為匹配唯一的、蛇樹和輪環圖的匹配多項式及y形圖不是匹配唯一的等結論。
  10. In this paper, one type of maximal subgroups in symplectic groups over polynomial rings, one type of maximal subgroups in symplectic groups over local rings, are obtained. in this paper, we also determine all the overgroups of sp ( 2m, r ) in gl ( 2m, r ) for r a local ring

    本文主要研究了多項式環上辛群的一類子群的極大性，局部環上辛群的一類子群的極大性和局部環上辛群在線性群中的擴群
  11. In chapter 1, one type of maximal subgroups in symplectic groups over polynomial rings are obtained. let f be a field, r = f [ x ] be a ring of polynomial in one variable over f, m be a positive integer, f ef and s be the ideal of r generated by - f, we define :, then g ( s ) is a maximal subgroups of sp ( 2m, r )

    在第一章中，得到了多項式環上辛群的一類極大子群：設f是一個域， r = f [ ]是域f上關于的一元多項式環， m是一個正整數， f f ， s是r的由- f生成的理想，則是sp （ 2m ， r ）的一個極大子群。
  12. B. buchberger introduced the concepts of term orders in the set of all power products and presented an algorithm for finding a special generators, a reduced grobner basis which is unique for a given term order, of a given ideal of a polynomial ring over a field from any generators of the ideal by means of s - polynomials

    Buchberger在域上的多項式環的單項式的集合中引入項序，並利用s -多項式，給出了一種演算法，使得對多項式環中的任意給定的理想，從它的一組生成元，可計算得到一組被稱為簡化gr （
  13. Idempotent over polynomial residue class ring z2m x xp

    上的冪等元
  14. Sunse ' s theorem in the polynomial ring

    一元多項式環中的孫子定理
  15. On the matrices over a polynomial ring

    關于多項式環上的矩陣
  16. Application of permutation in multi - polynomial factorization of ring

    置換群在多元多項式環因子分解中的應用
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