dimension of ring meaning in Chinese

举重台面积

Since the k - gorenstein property of ring r x m is an important aspect in the research field , in the first chapter , we have got an equivalent condition for r m as a k - gorenstein ring by study the injective resolution of ring r m . the dimensions of rings is one of the most important parts in homological theory
在第一章，我们通过对r ( ? ) m内射分解的考察得到了r ( ? ) m成为k - gorenstein环的一个充分必要条件：维数的研究是同调理论中的核心部分，伴随同调理论的形成，它便一直成为同调代数中研究的焦点。