# homological algebra中文什么意思

## 例句与用法

1. Homological algebra plays such an important part in modern developments .
同调代数在现代发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，我们对内射模的定义进行了推广，定义了弱内射模：设t ， n为r -模，对于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
而且利用泛性我们又可定义更广泛意义上的包、盖问题，例如： gorenstin内射(平坦、投射)包(盖) ， s -无挠预盖，等等。用这类比内射(平坦、投射)更广泛意义上的特殊模又能刻画一些环。总之，包、盖问题是当今非常活跃的研究课题，体现了同调代数在环模范畴研究中灵活运用。

## 百科释义

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.