两类代数的整体维数

The Global Dimensions of Two Classes of Algebras

同调代数作为研究代数问题的有力工具,在代数领域中有重要的地位,而同调维数(即投射维数,内射维数与整体维数)是最为重要的同调不变量之一。本文主要计算两类k-代数的整体维数,揭示出代数的关系与代数的整体维数之间的内在联系。

As an important tool in the research of algebras,homological algebra has played a significant role. Homological dimension( i.e. projective dimension,injective dimension and global dimension) is one of the important homological invariants. In this paper,we will study the global dimension of two classes of algebras and reveal the intrinsic connection between the relations of the algebras and its global dimension.