Finiteness criteria in Gorenstein homological algebra
I Emmanouil, O Talelli - Transactions of the American Mathematical Society, 2014 - ams.org
In this paper, we examine the class of modules of finite Gorenstein projective dimension and
study approximations of modules in that class by modules which are either Gorenstein …
study approximations of modules in that class by modules which are either Gorenstein …
On (strongly) Gorenstein von Neumann regular rings
N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
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and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …
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Global Gorenstein dimensions of polynomial rings and of direct products of rings
D Bennis, N Mahdou - arXiv preprint arXiv:0801.0483, 2008 - arxiv.org
In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein
homological dimensions of rings. Also, we study the Gorenstein homological dimensions of …
homological dimensions of rings. Also, we study the Gorenstein homological dimensions of …
[HTML][HTML] Relative cohomology of complexes
Z Liu - Journal of Algebra, 2018 - Elsevier
Let R be an arbitrary ring and C a complex with finite Gorenstein projective dimension (that
is, the supremum of Gorenstein projective dimension of all R-modules in C is finite). For …
is, the supremum of Gorenstein projective dimension of all R-modules in C is finite). For …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
On Gorenstein flat dimension
S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
Modules of finite homological dimension with respect to a semidualizing module
S Sather-Wagstaff, S Yassemi - Archiv der Mathematik, 2009 - Springer
Modules of finite homological dimension with respect to a semidualizing module Page 1
Arch. Math. 93 (2009), 111–121 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003-889X/09/020111-11 …
Arch. Math. 93 (2009), 111–121 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003-889X/09/020111-11 …
Modules of finite Gorenstein flat dimension and approximations
I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …