Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Hernandez, Octavio Mendoza"'
We introduce a relative tilting theory in abelian categories and show that this work offers a unified framework of different previous notions of tilting, ranging from Auslander-Solberg relative tilting modules on Artin algebras to infinitely generate
Externí odkaz:
http://arxiv.org/abs/2112.14873
In this paper we introduce a special kind of relative (co)resolutions associated to a pair of classes of objects in an abelian category $\mathcal{C}.$ We will see that, by studying these relative (co)resolutions, we get a possible generalization of a
Externí odkaz:
http://arxiv.org/abs/2104.11361
Publikováno v:
Journal of Homotopy and Related Structures. volume 14, pages 1-50 (2019)
In this work, we revisit Auslander-Buchweitz Approximation Theory and find some relations with cotorsion pairs and model category structures. From the notions of relatives generators and cogenerators in Approximation Theory, we introduce the concept
Externí odkaz:
http://arxiv.org/abs/1602.07328
Two classes $\mathcal A$ and $\mathcal B$ of modules over a ring $R$ are said to form a cotorsion pair $(\mathcal A, \mathcal B)$ if $\mathcal A={\rm Ker Ext}^1_R(-,\mathcal B)$ and $\mathcal B={\rm Ker Ext}^1_R(\mathcal A,-)$. We investigate relativ
Externí odkaz:
http://arxiv.org/abs/0808.1585