5 citations · 8 across the 7 of their papers we have counts for
8 papers
Strongly exchange rings
Manuel Cortés-Izurdiaga, Pedro A. Guil Asensio
Two elements in a ring form a right coprime pair, written , if . Right coprime pairs have shown to be quite useful in the study of left cotor…
Ziegler Partial Morphisms in additive exact categories
Manuel Cortés-Izurdiaga, Pedro A. Guil Asensio, Berke Kalebogaz +1
We develop a general theory of partial morphisms in additive exact categories which extends the model theoretic notion introduced by Ziegler in the particular case of pure-exact se…
The Schröder-Bernstein problem for Modules
Pedro A. Guil Asensio, Berke Kalebogaz, Ashish K. Srivastava
In this paper we study the Schröder-Bernstein problem for modules. We obtain a positive solution for the Schröder-Bernstein problem for modules invariant under endomorphisms of the…
Covering Ideals of Morphisms and Module Representations of the quiver
Sergio Estrada, Pedro Antonio Guil Asensio, Furuzan Ozbek
Sufficient conditions for an ideal in $R\Mod$ to be covering are proved. This allows to obtain an alternative proof of the existence of phantom covers of modules. Our…
Additive Unit Representations in Endomorphism Rings and an Extension of a result of Dickson and Fuller
Pedro A. Guil Asensio, Ashish K. Srivastava
A module is called automorphism-invariant if it is invariant under any automorphism of its injective hull. Dickson and Fuller have shown that if is a finite-dimensional algebra…
Model category structures arising from Drinfeld vector bundles
S. Estrada, P. A. Guil Asensio, M. Prest +1
We present a general construction of model category structures on the category of unbounded chain complexes of quasi-coherent sheaves on a semi-sepa…