Affiliation:
1. Lanzhou University of Technology
Abstract
In this note, the stability of restricted homological dimensions of complexes over commutative noetherian local ring is discussed. For instance, letRbe a Cohen-Macaulay ring andX, Y. IfXis bounded below with Gpd,Yis bounded above and =0 for all , then Rfd=Rfd+Rfd.
Publisher
Trans Tech Publications, Ltd.
Reference13 articles.
1. J. Asadollahi and S. Salarian: Gorenstein injective dimension for complexes and Iwanaga-Gorenstein rings, Comm Algebra, Vol. 34 (2006), pp.3009-3022.
2. M. Auslander and M. Bridger: Stable Module Theory, Providence, R.I.: American Mathematical Society, (1969).
3. L. Avramov and H. Foxby: Homological dimensions of unbounded complexes, J. Pure Appl. Algebra, Vol. 71 (1991), pp.129-155.
4. L. Christensen: Gorenstein dimensions, Lecture Notes in Math. 1747. Springer, Berlin, (2000).
5. L. Christensen: Semi-dualizing complexes and their Auslander categories, Trans. Amer. Math. Soc. Vol. 353 (2001), pp.1839-1883.