Copure injective resolutions, flat resolvents and dimensions
EE Enochs, JMG Overtoun - Commentationes Mathematicae Universitatis …, 1993 - dml.cz
In this paper, we show the existence of copure injective preenvelopes over noetherian rings
and copure flat preenvelopes over commutative artinian rings. We use this to characterize …
and copure flat preenvelopes over commutative artinian rings. We use this to characterize …
Injective envelopes and (Gorenstein) flat covers
EE Enochs, Z Huang - Algebras and representation theory, 2012 - Springer
We characterize left Noetherian rings in terms of the duality property of injective
preenvelopes and flat precovers. For a left and right Noetherian ring R, we prove that the flat …
preenvelopes and flat precovers. For a left and right Noetherian ring R, we prove that the flat …
Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes
EE Enochs, OMG Jenda - 2004 - Taylor & Francis
In this paper, we show that if R is a local Cohen–Macaulay ring admitting a dualizing module
Ω, then Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes exist …
Ω, then Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes exist …
Gorenstein injective covers and envelopes over noetherian rings
E Enochs, A Iacob - Proceedings of the American Mathematical Society, 2015 - ams.org
Gorenstein injective covers and envelopes over noetherian rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …
Finite Gorenstein representation type implies simple singularity
LW Christensen, G Piepmeyer, J Striuli… - Advances in …, 2008 - Elsevier
Let R be a commutative noetherian local ring and consider the set of isomorphism classes of
indecomposable totally reflexive R-modules. We prove that if this set is finite, then either it …
indecomposable totally reflexive R-modules. We prove that if this set is finite, then either it …
Gorenstein injective envelopes and covers over two sided noetherian rings
A Iacob - Communications in Algebra, 2017 - Taylor & Francis
We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …
over a two sided noetherian ring such that the character modules of Gorenstein injective …
On Gorenstein injective modules
EE Enochs, OMG Jenda - Communications in Algebra, 1993 - Taylor & Francis
Throughout this paper, R will denote a commutative noetherian ring. If M is an R-module, we
can construct an injective resolvent of M using injective precovers (see Enochs [5]). If we use …
can construct an injective resolvent of M using injective precovers (see Enochs [5]). If we use …
Presentations of rings with non-trivial semidualizing modules
DA Jorgensen, GJ Leuschke… - Collectanea mathematica, 2012 - Springer
Let R be a commutative noetherian local ring. A finitely generated R-module C is
semidualizing if it is self-orthogonal and\rm Hom _R (C, C) ≅ R. We prove that a Cohen …
semidualizing if it is self-orthogonal and\rm Hom _R (C, C) ≅ R. We prove that a Cohen …
Gorenstein injective and projective complexes
EE Enochs, JR Garcí Rozas - Communications in Algebra, 1998 - Taylor & Francis
In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
Gorenstein flat covers of modules over Gorenstein rings
E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …