ON A DEPTH FORMULA FOR MODULES OVER LOCAL RINGS

REFERENCES

• Auslander , M. 1961 . Modules Over Unramified Regular Local Rings, Ill . J. Math. , 5 : 631 – 647 .
   Google Scholar
• Auslander , M. and Bridger , M. 1969 . Stable Module Theory, Memoirs of the American Mathematical Society 94 Providence , R.I. : American Mathematical Society .
   Google Scholar
• Araya , T. and Yoshino , Y. 1998 . Remarks on a Depth Formula, a Grade Inequality and a Conjecture of Auslander . Comm. Algebra , 26 : 3793 – 3806 .
   Web of Science ®Google Scholar
• Avramov , L. L. , Gasharov , V. N. and Peeva , I. V. 1997 . Complete Intersection Dimension . Publ. Math. I.H.E.S. , 86 : 67 – 114 .
   Google Scholar
• Burch , L. 1968 . A Note on the Homology of Ideals Generated by Three Elements in Local Rings . Math. Proc. Camb. Phil. Soc. , 64 : 949 – 952 .
   Web of Science ®Google Scholar
• Foxby , H.-B. Hyperhomological Algebra in Commutative Algebra . in preparation ,
   Google Scholar
• Huneke , C. and Wiegand , R. 1994 . Tensor Products of Modules and the Rigidity of Tor . Math. Ann. , 299 : 449 – 476 .
   Web of Science ®Google Scholar
• Iyengar , S. 1999 . Depth for Complexes, and Intersection Theorems . Math. Z. , 280 : 545 – 567 .
   Web of Science ®Google Scholar
• Jorgensen , D. 1999 . A Generalization of the Auslander-Buchsbaum Formula . J. Pure Appl. Algebra , 144 ( 2 ) : 145 – 155 .
   Web of Science ®Google Scholar
• Kohn , P. 1972 . Ideals Generated by Three Elements . Proc. Amer. Math. Soc. , 35 : 55 – 58 .
   Web of Science ®Google Scholar
• Matsumura , H. 1989 . Commutative Ring Theory , Cambridge Studies Adv. Math. 8 Cambridge : Univ. Press . (first paperback ed.)
   Google Scholar
• Murthy , M. P. 1963 . Modulus over Regular Local Rings Ill . J. Math. , 7 : 558 – 565 .
   Google Scholar