A Bass formula for Gorenstein injective dimension
L Khatami, S Yassemi - Communications in Algebra®, 2007 - Taylor & Francis
… In this article a generalized version of the Bass formula is proved for finitely generated
modules of finite Gorenstein injective dimension over a commutative Noetherian ring. … In …
modules of finite Gorenstein injective dimension over a commutative Noetherian ring. … In …
Finiteness of Gorenstein injective dimension of modules
… of this paper extend both Bass’s and Chouinard’s formulas to the Gorenstein injective …
with an ultimate generalization of the classical Bass formula to Gorenstein injective dimension. …
with an ultimate generalization of the classical Bass formula to Gorenstein injective dimension. …
Gorenstein injective dimension, Bass formula and Gorenstein rings
L Khatami, S Yassemi - arXiv preprint math/0312513, 2003 - arxiv.org
… injective dimension of k is finite. In this paper it is shown that R is Gorenstein if and only if the
Gorenstein injective dimension … of the so-called Bass formula is proved for finitely generated …
Gorenstein injective dimension … of the so-called Bass formula is proved for finitely generated …
[图书][B] Gorenstein dimensions
LW Christensen - 2000 - books.google.com
… Indeed, any admirer of classics like the AuslanderBuchsbaum formula, the Auslander-Buchsbaum-Serre
characterization of regular rings, and Bass' formula for injective dimension must …
characterization of regular rings, and Bass' formula for injective dimension must …
[PDF][PDF] On the ubiquity of Gorenstein rings
H Bass - Mathematische Zeitschrift, 1963 - academia.edu
… shows that our definition of Gorenstein rings agrees with that … in w the behavior of Gorenstein
rings of dimension one. This … An important example of Gorenstein ring of dimension one is …
rings of dimension one. This … An important example of Gorenstein ring of dimension one is …
[引用][C] The Euler characteristic of a finitely generated module of finite injective dimension
RY Sharp - Mathematische Zeitschrift, 1973 - Springer
… generated modules of finite injective dimension under this ring … that a flat local Gorenstein
homomorphism of Noetherian … in itself since, firstly, Bass' conjecture is not yet completely …
homomorphism of Noetherian … in itself since, firstly, Bass' conjecture is not yet completely …
[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… –Buchsbaum formula (sometimes known as the Auslander–Bridger formula) for the G-…
remarks are to be said about the Bass class B (R) and the Gorenstein injective dimension. …
remarks are to be said about the Bass class B (R) and the Gorenstein injective dimension. …
[HTML][HTML] Transfer of Gorenstein dimensions along ring homomorphisms
LW Christensen, S Sather-Wagstaff - Journal of Pure and Applied Algebra, 2010 - Elsevier
… Gorenstein injective dimension. Moreover, we establish two formulas for the Gorenstein injective
dimension … they extend formulas for the injective dimension due to Bass and Chouinard. …
dimension … they extend formulas for the injective dimension due to Bass and Chouinard. …
Cyclic modules of finite Gorenstein injective dimension and Gorenstein rings
HB Foxby, AJ Frankild - Illinois Journal of Mathematics, 2007 - projecteuclid.org
… Since the Gorenstein injective dimension is a refinement of … The Bass series for the ring
is denoted IR(t), and the ring R is … It still remains to prove the equation for the Laurent series. …
is denoted IR(t), and the ring R is … It still remains to prove the equation for the Laurent series. …
Gorenstein injective dimension and Tor-depth of modules
EE Enochs, OMG Jenda - Archiv der Mathematik, 1999 - Springer
… Gorenstein injective dimension and Tor-depth of M. As a consequence, we get that this formula
holds over a d-dimensional Gorenstein … These modules allow us to use Bass techniques …
holds over a d-dimensional Gorenstein … These modules allow us to use Bass techniques …
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