projective resolution 中文意思是什麼

projective resolution 解釋
射影分解
  • projective : adj. 1. 投影的,射影的。2. 凸出的,突出的。3. 【心理學】投射的。
  • resolution : n 1 決心,果斷;堅定,剛毅。2 (議會等的)決定,決議(案);【法律】〈罕用語〉判決;(疑問等的)...
  1. E. e. enochs put forword the concepts of injective ( projective or flat ) ( pre ) cover and ( pre ) envelope in the early 1980s ", a lot of articles have studied existence and uniqueness of such ( pre ) covers and ( pre ) envelopes, the property of their kernels or cokernels, and character many special rings. moreover, if such kind of ( pre ) covers or ( pre ) envelopes exist, we can construct a complete injective ( projective or flat ) resolvent ( called resolution when exact ) and a partial injective ( projective or flat ) resolvent, and if r is a ring, we can study the relationship of its left global dimension l. d ( r ) ( or its weak dimension w ( r ) ) and the properties of syzygies ( or cosyzygies ) of a resolvent ( or resolution ), and the relationship of its left global dimension l. d ( r ) ( or its weak dimension ) and the exactness of a resolvent ( or resolution )

    自八十年代初e . e . enochs首次提出並研究內射(投射、平坦) (預)蓋及內射(投射、平坦) (預)包這些概念以來,大批論文研究此類包、蓋的存在性、唯一性問題以及它們的核、上核的性質,並據此刻畫了一些常見的特殊環;更進一步地,當此類包、蓋存在時,我們可構造相應的完全投射(平坦、內射)預解式(當正合時稱為完全分解式)以及單邊投射(平坦、內射)預解式,研究了環的左(右)總體維數、弱維數與此類分解式的合沖模(或上合沖模)的性質、復形正合性之間的關系。
  2. ( 1 ) state the appearance of block design and it ' s resolution. ( 2 ) formulate the history of ols ( orthogonal latin squares ) and show the role that euler ' s conjecture and macneish ' s conjecture on ols played in the progress of study on latin square. ( 3 ) state briefly the motivation that finite projective plan and finite field offer to the development of combinatorial design

    ( 1 )詳述了18世紀中期提出的區組設計問題以及這些問題出現的多種形式及解決方法; ( 2 )對組合設計中正交拉丁方的歷史予以闡述,分析了拉丁方問題的研究中歐拉猜想和麥克奈希猜想的作用; ( 3 )簡述了有限射影幾何及有限域在組合設計中的意義及其對組合設計理論發展的推動作用。
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