Add to ORKGIn this article, we define relative resolutions and coresolutions in extriangulated categories. By studying this relative resolutions and coresolutions, we get a generalization of the Auslander-Buchweitz approximation theory. Finally, we develop some theories of relative tilting objects in extriangulated categories.Comment: 17 page
AbstractIn the study of standardly stratified algebras and stratifying systems, we find an object wh...
An important result in tilting theory states that a class of modules over a ring is a tilting class ...
AbstractLet D be a triangulated category with a cluster tilting subcategory U. The quotient category...
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In...
In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in extriangulat...
The notion of an extriangulated category gives a unification of existing theories in exact or abelia...
We show that, over an artin algebra, the tilting functor preserves (co)tilting modules in the subcat...
Let $\mathcal{E}=(\mathcal{A},\mathcal{S})$ be an exact category with enough projectives $\mathcal{P...
In the paper under review the authors, generalizing classical tilting theory and the theory of quasi...
summary:Let $\mathscr {C}$ be a triangulated category and $\mathscr {X}$ be a cluster tilting subcat...
Herschend-Liu-Nakaoka introduced the notion of $n$-exangulated categories. It is not only a higher d...
Let $\mathcal{M}$ be a small $n$-abelian category. We show that the category of finitely presented f...
In the study of standardly stratified algebras and stratifying systems. we find an object which is e...
We present the concept of cotorsion pairs cut along subcategories of an abelian category. This provi...
An important result in tilting theory states that a class of modules over a ring is a tilting class ...
AbstractIn the study of standardly stratified algebras and stratifying systems, we find an object wh...
An important result in tilting theory states that a class of modules over a ring is a tilting class ...
AbstractLet D be a triangulated category with a cluster tilting subcategory U. The quotient category...
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In...
In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in extriangulat...
The notion of an extriangulated category gives a unification of existing theories in exact or abelia...
We show that, over an artin algebra, the tilting functor preserves (co)tilting modules in the subcat...
Let $\mathcal{E}=(\mathcal{A},\mathcal{S})$ be an exact category with enough projectives $\mathcal{P...
In the paper under review the authors, generalizing classical tilting theory and the theory of quasi...
summary:Let $\mathscr {C}$ be a triangulated category and $\mathscr {X}$ be a cluster tilting subcat...
Herschend-Liu-Nakaoka introduced the notion of $n$-exangulated categories. It is not only a higher d...
Let $\mathcal{M}$ be a small $n$-abelian category. We show that the category of finitely presented f...
In the study of standardly stratified algebras and stratifying systems. we find an object which is e...
We present the concept of cotorsion pairs cut along subcategories of an abelian category. This provi...
An important result in tilting theory states that a class of modules over a ring is a tilting class ...
AbstractIn the study of standardly stratified algebras and stratifying systems, we find an object wh...
An important result in tilting theory states that a class of modules over a ring is a tilting class ...
AbstractLet D be a triangulated category with a cluster tilting subcategory U. The quotient category...