homological algebra 中文意思是什麼

homological algebra 解釋
同代
  1. Homological algebra plays such an important part in modern developments.

    同調代數在現代發展中起了如此重要的作用。
  2. Injective modules play an important role in module theory and homological algebra. in the first part of this paper, the concept of injective modules extended and weak injective modules are denned

    在本文的第一部分中,我們對內射模的定義進行了推廣,定義了弱內射模:設t , n為r -模,對于n的任意非零子模m (
  3. Using universal property, we can define general ( pre ) cover and ( pre ) envelope, such as gorenstein injective ( projective or flat ) ( pre ) cover and ( pre ) envelope, 5 - torsion free ( pre ) cover etc. in a word, problems on ( pre ) over and ( pre ) envelope have aroused considerable debate in the academic circle, which embodies flexible use of tools of homological algebra in studying categories of rings and modules

    而且利用泛性我們又可定義更廣泛意義上的包、蓋問題,例如: gorenstin內射(平坦、投射)包(蓋) , s -無撓預蓋,等等。用這類比內射(平坦、投射)更廣泛意義上的特殊模又能刻畫一些環。總之,包、蓋問題是當今非常活躍的研究課題,體現了同調代數在環模範疇研究中靈活運用。
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