finite algebra 中文意思是什麼

finite algebra 解釋
有限代數
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • algebra : n. 代數學。
  1. Simply connected algebra of representation - finite have been thoroughly studied, since bongartz and gabrie studied it. but the knowledge of simply connected algebra with representation - infinite type is very poor, only some special class of it was carefully invesitigated

    有限維代數的單連通性與覆蓋理論的關系十分密切，自bongartz和gabriel開始對有限表示型單連通代數研究以來，單連通代數在有限表示型的情形得到了徹底的討論。
  2. 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。
  3. Algorithms for the minimal polynomial and the inverse of a given block symmetric circulant matrix over a group algebra of a finite group over a field are presented. and a method of determining singularity of this block symmetric circulant matrix is given

    ?給出了求域上有限群的群代數上的塊循環矩陣的極小多項式的演算法，西安電子科技大學博士學位論文:多項式代數及其應用奇異性判別法及其逆矩陣的求法
  4. The definition of a mixed block matrix is given, and an algorithm for the inverse of a given mixed block matrix over a group algebra of a finite group over a field is presented, and a method of determining singularity of this mixed block matrix is given

    ?給出了域上有限群的群代數上的塊對稱循環矩陣的奇異性判別法及其逆矩陣求法. ，定義了域上有限群的群代數上的混合塊矩陣，並給出了它的可逆性的判別法及其逆矩陣的求法
  5. We first present the decomposition of finite rank operators and trace class operators in a weakly closed nest algebra algn - module. secondly, the same question for finite rank operators in the preanm ' hilator of an atomic boolean lattice algebra is considered. ( 6 ) let n be a nest on a hilbert space h. and u be any weakly closed algn - module

    在第三章中，我們首先討論了弱閉套代數模中的有限秩運算元和跡類運算元的「保跡范數可加性分解」問題，然後研究了原子boolean格代數的預零化子中的有限秩運算元，得到（ 6 ）設n是hilbert空間h中的一個套， u是任一弱閉algn -模。
  6. It is shown that if l is a modular lattice with finite length, and with 0, 1 the least and the largest elements in l respectively, then 1 is the union of some minimal elements in l if and only if 0 is the intersection of some maximal elements in l, if and only if each non - zero element in l is the union of some minimal elements in l. by using these results, we give the necessary and sufficient conditions of an algebra module, module, ring, group and semigroup, respectively, to be semisimple

    最後得出有限生成的ps -系是noetherian （ artinian ）系的充要條件是它關于本質子系滿足升鏈（降鏈）條件。第二章給出了一個模格是半單的若干充要條件。得到：有有限長度的模格l上，最大元1是若干極小元的並當且僅當最小元0是若干極大元的交，當且僅當l中任意非零元可表示為若干極小元的並。
  7. Syntactic system of lattice - valued propositional logic based on finite lattice implication algebra

    基於有限格蘊涵代數的格值命題邏輯語法系統
  8. It is proved that every nonzero ideal in a finite - dimensional semi - simple algebra over a field is generated by an unique central idempotent

    證明了域上有限維半單代數的每一個非零理想由唯一的中心冪等元生成。
  9. In chapter 2, we get some conclusions for the completion of the almost complete exceptional sequence of representation - finite type algebra and finite dimensional algebra using perpendicular category

    第二章藉助垂直范疇得到了關于有限表示型遺傳代數，任意有限維遺傳代數上幾乎完備例外序列補的一些結論。
  10. The struction of s - affine weyl groups of finite dimension simple lie algebra

    素特徵域上扭仿射李代數的實現
  11. Proceed from general conclusion of algebra on the finite field, study this special algebra system of elliptic curve on the finite field, discuss that sets up several theories of the public key cryptosystems and the problems of implementation on it

    從有限域上的代數的一般結論出發，研究有限域上的橢圓曲線這一特殊的代數系統，討論在其上建立公鑰密碼體制的若干理論和實現問題。
  12. Structural constants of finite dimension algebra and coalgebra

    有限維代數及余代數的結構常數
  13. Semantic system of lattice - valued propositional logic based on finite lattice implication algebra

    基於有限格蘊涵代數的格值命題邏輯語義系統
  14. In the third part, this paper studies the mp filters of mtl algebras from many respects. it gives the definition of maximal mp filters, provides the equivalent condition of maximal mp filters, depicts the structure of the subalgebras of mtl algebras, discusses locally finite mtl algebras ; studies the boolean filters of mtl algebras, proves if f is a boolean filters of m which is an mtl algebra, then m / - f is a boolean algebra and discusses local mtl algebras

    第三章：從多方面研究了mtl代數的mp濾子，給出mtl代數極大mp濾子的定義；找出了是mtl代數極大mp濾子的等價條件；對mtl代數的子代數給予刻劃；還討論了局部有限mtl代數；研究了mtl代數的布爾濾子；證明了當f是mtl代數m的布爾濾子時， m f是布爾代數；還討論了局部mtl代數。
  15. Representation and duality of finite hopf c - algebra

    代數的表示與對偶
  16. Then, we study the case of finite boolean algebra based on the fact that any finite boolean algebra is the direct product of a finite number of binary boolean algebra

    然後，基於有限布爾代數是二元布爾代數的有限直積這一事實，討論了有限布爾代數上的情況
  17. Linear algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old euclid g eometry. the concept of " linear space " is a kind of algebraic abstract. in many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined

    線性代數主要是研究有限維線性空間及其線性變換這一代數結構的學科，而線性概念究其根源則是來自古老的euclid幾何，線性空間概念是幾何空間的一種代數抽象，在現代工程技術的許多領域里，由於計算機及圖形顯示的強大威力，幾何問題的代數化處理，代數問題的可視化處理，把代數與幾何更加緊密地結合在一起。
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