[图书][B] Relative homological algebra: Volume 1
EE Enochs, OMG Jenda - 2011 - books.google.com
This is the second revised edition of an introduction to contemporary relative homological
algebra. It supplies important material essential to understand topics in algebra, algebraic …
algebra. It supplies important material essential to understand topics in algebra, algebraic …
[图书][B] Approximations and endomorphism algebras of modules
R Göbel, J Trlifaj - 2006 - degruyter.com
References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
Cotorsion pairs, model category structures, and representation theory
M Hovey - Mathematische Zeitschrift, 2002 - Springer
We make a general study of Quillen model structures on abelian categories. We show that
they are closely related to cotorsion pairs, which were introduced by Salce [Sal79] and have …
they are closely related to cotorsion pairs, which were introduced by Salce [Sal79] and have …
The flat model structure on 𝐂𝐡 (𝐑)
J Gillespie - Transactions of the American Mathematical Society, 2004 - ams.org
Given a cotorsion pair $(\mathcal {A},\mathcal {B}) $ in an abelian category $\mathcal {C} $
with enough $\mathcal {A} $ objects and enough $\mathcal {B} $ objects, we define two …
with enough $\mathcal {A} $ objects and enough $\mathcal {B} $ objects, we define two …
Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
[HTML][HTML] Gorenstein complexes and recollements from cotorsion pairs
J Gillespie - Advances in Mathematics, 2016 - Elsevier
We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …
Gorenstein projective, injective, and flat complexes
X Yang, Z Liu - Communications in Algebra, 2011 - Taylor & Francis
Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …
Hereditary abelian model categories
J Gillespie - Bulletin of the London Mathematical Society, 2016 - academic.oup.com
Hereditary abelian model categories | Bulletin of the London Mathematical Society | Oxford
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Flat quasi-coherent sheaves as direct limits, and quasi-coherent cotorsion periodicity
L Positselski, J Stovicek - arXiv preprint arXiv:2212.09639, 2022 - arxiv.org
We show that every flat quasi-coherent sheaf on a quasi-compact quasi-separated scheme
is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More …
is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More …
On Ding injective, Ding projective and Ding flat modules and complexes
J Gillespie - 2017 - projecteuclid.org
We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …