weak dimension meaning in Chinese
弱维
Examples
- 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首次提出并研究内射(投射、平坦) (预)盖及内射(投射、平坦) (预)包这些概念以来，大批论文研究此类包、盖的存在性、唯一性问题以及它们的核、上核的性质，并据此刻画了一些常见的特殊环；更进一步地，当此类包、盖存在时，我们可构造相应的完全投射(平坦、内射)预解式(当正合时称为完全分解式)以及单边投射(平坦、内射)预解式，研究了环的左(右)总体维数、弱维数与此类分解式的合冲模(或上合冲模)的性质、复形正合性之间的关系。