homological algebra meaning in English
同代
同调代数
同碟数
Examples
- 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。 - 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 ( - 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。