论文标题
广义的Igusa-todorov功能和拉特 - 乌萨 - todorov代数
Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras
论文作者
论文摘要
在本文中,我们研究了Igusa-todorov函数的概括,从而产生了满足有资源维度猜想的大量代数。这类代数称为Lat-igusa-todorov,其中包括Igusa-Todorov代数(由J. Wei定义)和通常不是Igusa-Todorov代数的自注射代数。最后,给出了开发理论的某些应用,以关联本文讨论的不同同源维度。
In this paper we study a generalisation of the Igusa-Todorov functions which gives rise to a vast class of algebras satisfying the finitistic dimension conjecture. This class of algebras is called Lat-Igusa-Todorov and includes, among others, the Igusa-Todorov algebras (defined by J. Wei) and the self-injective algebras which in general are not Igusa-Todorov algebras. Finally, some applications of the developed theory are given in order to relate the different homological dimensions which have been discussed through the paper.