Approximation presentations of modules and homological conjectures

Zhaoyong Huang

Approximation presentations of modules and homological conjectures

环与代数 2007-05-23 v2 表示论

作者: Zhaoyong Huang

摘要

In this paper we give a sufficient condition of the existence of ${\rm \mathbb{W}}^{t}$ -approximation presentations. We also introduce property (W $^{k}$ ). As an application of the existence of ${\rm \mathbb{W}}^{t}$ -approximation presentations we give a connection between the finitistic dimension conjecture, the Auslander-Reiten conjecture and property (W $^{k}$ ).

引用

@article{arxiv.math/0409175,
  title  = {Approximation presentations of modules and homological conjectures},
  author = {Zhaoyong Huang},
  journal= {arXiv preprint arXiv:math/0409175},
  year   = {2007}
}

备注

19 pages. To appear in Communications in Algebra. The orginal title is: $W^t$-approximation representations and homological conjectures

Approximation presentations of modules and homological conjectures

摘要

引用

备注

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