# homological algebra中文

## 例句與用法

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范疇研究中靈活運用。

## 百科釋義

Homological algebra is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of modules and syzygies) at the end of the 19th century, chiefly by Henri Poincaré and David Hilbert.
詳細百科解釋