A generalization of the flat cotorsion theory
A Stanculescu - arXiv preprint arXiv:2307.11208, 2023 - arxiv.org
We use the framework of Tensor-Hom-Cotensor situations to present a generalization to
abelian categories of the flat cotorsion theory for modules over a ring. Using the generalized …
abelian categories of the flat cotorsion theory for modules over a ring. Using the generalized …
Exact envelopes of complexes
EE Enochs, GJR Rozas - Communications in Algebra, 1999 - Taylor & Francis
It is known that every complex of left R-modules has an exact cover. We consider the
question of finding R for which every complex of left i?-modules has an exact envelope. We …
question of finding R for which every complex of left i?-modules has an exact envelope. We …
Cartan-Eilenberg Gorenstein flat complexes
G Yang, L Liang - Mathematica Scandinavica, 2014 - JSTOR
In this paper, we study Cartan-Eilenberg Gorenstein flat complexes. We show that over
coherent rings a Cartan-Eilenberg Gorenstein flat complex can be gotten by a so-called …
coherent rings a Cartan-Eilenberg Gorenstein flat complex can be gotten by a so-called …
Complete cotorsion pairs in the category of complexes
Z Wang, Z Liu - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we study completeness of cotorsion pairs in the category of complexes of R-
modules. Let (A, B) be a cotorsion pair in R-Mod. It is shown that the cotorsion pair …
modules. Let (A, B) be a cotorsion pair in R-Mod. It is shown that the cotorsion pair …
Cotorsion pairs of complexes
X Yang - Proceedings Of The International Conference On …, 2012 - World Scientific
Cotorsion Pairs of Complexes Page 1 Cotorsion Pairs of Complexes Xiaoyan Yang Dedicated
to the 70-year-old birthday of Professor KP Shum Abstract: Let C be a complex of right …
to the 70-year-old birthday of Professor KP Shum Abstract: Let C be a complex of right …
Grothendieck enriched categories
Y Imamura - Applied Categorical Structures, 2022 - Springer
In this paper, we introduce the notion of Grothendieck enriched categories for categories
enriched over a sufficiently nice Grothendieck monoidal category V, generalizing the …
enriched over a sufficiently nice Grothendieck monoidal category V, generalizing the …
DG-projective, injective and flat complexes
X Yang, Z Liu - Algebra Colloquium, 2013 - World Scientific
In this article, we characterize some rings in terms of the DG-projective, injective and flat
complexes. We also give some connections between DG-injective complexes and DG-flat …
complexes. We also give some connections between DG-injective complexes and DG-flat …
关于Ding 投射范畴的稳定性
颜晓光， 徐爱民 - 南京师大学报: 自然科学版, 2015 - cqvip.com
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Relative injectivity and flatness of complexes
B Lu, Z Liu - Kodai Mathematical Journal, 2013 - jstage.jst.go.jp
抄録 A complex C is said to be FR-injective (resp., FR-flat) if Ext 1 (D, C)= 0 (resp., $\overline
{Tor} 1 (C, D)= 0) for any finitely represented complex D. We prove that a complex C is FR …
{Tor} 1 (C, D)= 0) for any finitely represented complex D. We prove that a complex C is FR …
On Gorenstein FP-Injective and Gorenstein Flat Complexes
D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …