期刊论文

A Note on Finitistic Dimension

中文

佳木斯大学学报(自然科学版)

1008-1402

2008

26

3

377-378

10.3969/j.issn.1008-1402.2008.03.031

南华大学硕士科研启动基金（5-04-XJQ-04132）； 湖南省优秀青年基金（06B080）资助；

本校为第一机构

给出了维数有限性条件的一个推广,引入了准维数有限性条件并给出了Noether环上准维数有限条件的一些应用.最后讨论了准维数有限性条件与维数有限性条件的关系.许多已知的结果都可以作为本文一些结果的推论.

In this paper,a generalization of finitistic dimension condition was given.The quasi-finitistic dimension condition over noetherian ring was introduced and its some applications were given.The relationship between quasi-finitistic dimension condition and the finitistic dimension condition was discussed.Some known results can be...