Special homological dimensions and intersection theorem

作者: Tirdad Sharif , Siamak Yassemi

DOI: 10.7146/MATH.SCAND.A-14950

关键词:

摘要: Let $(R,m)$ be commutative Noetherian local ring. It is shown that $R$ Cohen-Macaulay ring if there exists a finite (i.e. finitely generated) $R$-module with upper Gorenstein dimension. In addition, we show that, in the Intersection Theorem, projective dimension can replaced by quasi-projective

参考文章(8)
Paul Roberts, Two applications of dualizing complexes over local rings Annales Scientifiques De L Ecole Normale Superieure. ,vol. 9, pp. 103- 106 ,(1976) , 10.24033/ASENS.1305
M. Hochster, Topics in the Homological Theory of Modules over Commutative Rings American Mathematical Society. ,vol. 24, ,(1975) , 10.1090/CBMS/024
Luchezar L. Avramov, Hans-Bjørn Foxby, Cohen–Macaulay Properties of Ring Homomorphisms Advances in Mathematics. ,vol. 133, pp. 54- 95 ,(1998) , 10.1006/AIMA.1997.1684
Luchezar L. Avramov, Vesselin N. Gasharov, Irena V. Peeva, Complete intersection dimension Publications mathématiques de l'IHÉS. ,vol. 86, pp. 67- 114 ,(1997) , 10.1007/BF02698901
Dmitri Apassov, Almost finite modules Communications in Algebra. ,vol. 27, pp. 919- 931 ,(1999) , 10.1080/00927879908826469
Oana Veliche, Construction of Modules with Finite Homological Dimensions Journal of Algebra. ,vol. 250, pp. 427- 449 ,(2002) , 10.1006/JABR.2001.9100
L.L. Avramov, H.B. Foxby, B. Herzog, Structure of Local Homomorphisms Journal of Algebra. ,vol. 164, pp. 124- 145 ,(1994) , 10.1006/JABR.1994.1057
S. Iyengar, DEPTH FOR COMPLEXES, AND INTERSECTION THEOREMS Mathematische Zeitschrift. ,vol. 230, pp. 545- 567 ,(1999) , 10.1007/PL00004705