On indices of local rings along local homomorphisms
A Shida - Communications in Algebra, 1995 - Taylor & Francis
On indices of local rings along local homomorphisms Page 1 COMMUNICATIONS IN ALGEBRA,
23(12), 4535-4541 (1995) ON INDICES OF LOCAL RINGS ALONG LOCAL HOMOMORPHISMS …
23(12), 4535-4541 (1995) ON INDICES OF LOCAL RINGS ALONG LOCAL HOMOMORPHISMS …
On the existence of embeddings into modules of finite homological dimensions
R Takahashi, S Yassemi, Y Yoshino - Proceedings of the American …, 2010 - ams.org
Let $ R $ be a commutative Noetherian local ring. We show that $ R $ is Gorenstein if and
only if every finitely generated $ R $-module can be embedded in a finitely generated $ R …
only if every finitely generated $ R $-module can be embedded in a finitely generated $ R …
Modules of the highest homological dimension over a Gorenstein ring
Y Iwanaga, J Miyachi - CONTEMPORARY MATHEMATICS, 1998 - books.google.com
We will study modules of the highest injective, projective and flat dimension over a
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Ascent and descent of Gorenstein property
A Garcia, JJM Soto - Glasgow Mathematical Journal, 2004 - cambridge.org
ASCENT and DESCENT OF GORENSTEIN PROPERTY Page 1 Glasgow Math. J. 46 (2004)
205–210. C 2004 Glasgow Mathematical Journal Trust. DOI: 10.1017/S001708950300168X …
205–210. C 2004 Glasgow Mathematical Journal Trust. DOI: 10.1017/S001708950300168X …
[引用][C] Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen‐Macaulay Rings†
RY Sharp - Proceedings of the London Mathematical Society, 1972 - Wiley Online Library
The starting point for the discussion in the present paper is another result of Levin and
Vasconcelos. In [13], Theorem 2.2, they proved that, if R is a Gorenstein local ring, then a fg …
Vasconcelos. In [13], Theorem 2.2, they proved that, if R is a Gorenstein local ring, then a fg …
When does the canonical module of a module have finite injective dimension?
TH Freitas, VH Jorge Pérez - Archiv der Mathematik, 2021 - Springer
Abstract Foxby (Math Scand 2: 175–186, 1971–1972) showed that a Cohen-Macaulay
module over a Gorenstein local ring has finite projective dimension if and only if its …
module over a Gorenstein local ring has finite projective dimension if and only if its …
Bounds on Gorenstein Dimensions and Exceptional Complete Intersection Maps
H Faridian - arXiv preprint arXiv:2402.06834, 2024 - arxiv.org
We prove that if $ f: R\rightarrow S $ is a local homomorphism of noetherian local rings of
finite flat dimension and $ M $ is a non-zero finitely generated $ S $-module whose …
finite flat dimension and $ M $ is a non-zero finitely generated $ S $-module whose …
Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra
R Takahashi - Journal of the Mathematical Society of Japan, 2013 - jstage.jst.go.jp
Let R be a Gorenstein local ring which is locally a hypersurface on the punctured spectrum.
In this paper, we classify thick subcategories of the bounded derived category of finitely …
In this paper, we classify thick subcategories of the bounded derived category of finitely …
The existence of finitely generated modules of finite Gorenstein injective dimension
R Takahashi - Proceedings of the American Mathematical Society, 2006 - JSTOR
The Existence of Finitely Generated Modules of Finite Gorenstein Injective Dimension Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 11 …
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 11 …