[HTML][HTML] Homotopy category of projective complexes and complexes of Gorenstein projective modules
J Asadollahi, R Hafezi, S Salarian - Journal of Algebra, 2014 - Elsevier
Let R be a ring with identity and C (R) denote the category of complexes of R-modules. In
this paper we study the homotopy categories arising from projective (resp. injective) …
this paper we study the homotopy categories arising from projective (resp. injective) …
Homotopy equivalences induced by balanced pairs
XW Chen - Journal of Algebra, 2010 - Elsevier
We introduce the notion of balanced pair of additive subcategories in an abelian category.
We give sufficient conditions under which a balanced pair of subcategories gives rise to a …
We give sufficient conditions under which a balanced pair of subcategories gives rise to a …
[HTML][HTML] Triangulated equivalence between a homotopy category and a triangulated quotient category
Z Di, Z Liu, X Yang, X Zhang - Journal of Algebra, 2018 - Elsevier
Given two complete hereditary cotorsion pairs (Q, R) and (Q′, R′) in a bicomplete abelian
category G such that Q′⊆ Q and Q∩ R= Q′∩ R′, Becker showed that there exists a …
category G such that Q′⊆ Q and Q∩ R= Q′∩ R′, Becker showed that there exists a …
On homotopy categories of Gorenstein modules: compact generation and dimensions
N Gao - arXiv preprint arXiv:1401.4204, 2014 - arxiv.org
Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …
the subcategory of compact objects in the homotopy category of Gorenstein projective left …
Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers
M Cortés-Izurdiaga - Science China Mathematics, 2024 - Springer
Let R be a ring, Proj be the class of all the projective right R-modules, K be the full
subcategory of the homotopy category K (Proj) whose class of objects consists of all the …
subcategory of the homotopy category K (Proj) whose class of objects consists of all the …
Gorenstein injective, projective and flat (pre) covers
A Iacob, E Enochs, S Estrada - Acta Mathematica Universitatis …, 2014 - iam.fmph.uniba.sk
We prove that if the ring R is left noetherian andif the class of Gorenstein injective modules,
GI, is closed under ltrations, then GI is precovering. We extend this result to the category of …
GI, is closed under ltrations, then GI is precovering. We extend this result to the category of …
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
Homotopy categories of unbounded complexes of projective modules
Y Yoshino - Journal of the London Mathematical Society, 2022 - Wiley Online Library
We develop in this paper the stable theory for projective complexes, by which we mean to
consider a chain complex of finitely generated projective modules as an object of the factor …
consider a chain complex of finitely generated projective modules as an object of the factor …
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 injective precovers, covers, and envelopes
E Enochs, S Estrada, A Iacob - arXiv preprint arXiv:1301.5694, 2013 - arxiv.org
We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …