Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles: A. A. Gerko, “On suitable modules and $mathrm G$- perfect ideals ”, Russian Math. Surveys, 56:4 (2001), 749–750 ; A. A. Gerko, “On homological dimensions”, Sb. Math.
192:8 (2001), 1165–1179, perfect ideals . The former are expressed in terms of the Koszul complex and used to study the properties of ideals with a common method of generation, with particular reference to those which are perfect in non-special situations. In this way an extension of the Generalized .
The former are expressed in terms of the Koszul complex and used to study the properties of ideals with a common method of generation, with particular reference to those which are perfect in non-special situations. In this way an extension of the Generalized Principal Ideal Theorem is obtained.
3/1/2004 · A new homological dimension, called GCM-dimension, will be defined for any finitely generated module M over a local Noetherian ring R.GCM-dimension (short for Generalized Cohen–Macaulay dimension) characterizes Generalized Cohen–Macaulay rings in the sense that: a ring R is Generalized Cohen–Macaulay if and only if every finitely generated R-module has finite GCM.
The paper introduces the notions of generically acyclic, projective complexes and generically perfect ideals . The former are expressed in terms of the Koszul complex and used to study the properties of ideals with a common method of generation, with particular reference to those which are perfect in non-special situations. In this way an extension of the Generalized Principal Ideal Theorem is …
Generalized tilting modules over ring extension Zhen Zhang Received November 8, 2017. Published online February 15, 2019.
Keywords: Frobenius map, CM-dimension, G-dimension, flat dimension, injective dimension Received by editor(s): May 15, 2002 Received by editor(s) in revised form: April 9, 2003, and August 7, 2003, [10] E. S. Golod: G-dimension and generalized perfect ideals . Tr. Mat. Inst. Steklova 165 (1984), Russian 62-66. MR 0752933 | Zbl 0577.13008 [11] M. Hashimoto: Auslander-Buchweitz Approximations of Equivariant Modules. London Mathematical Society Lecture Note Series 282 Cambridge University Press, Cambridge (2000).
