2 citations · 2 across the 8 of their papers we have counts for
6 papers · 1 filter
Weakly Sigma-cotorsion rings
Manuel Cortés-Izurdiaga, Sergio Estrada, José Manuel Fresneda
We study the class of rings for which every direct sum of injective -modules is cotorsion. We call them weakly -cotorsion rings. The defining property might be seen as th…
Almost free modules, perfect decomposition and Enochs's conjecture
Manuel Cortés-Izurdiaga, Alejandro Poveda
Given a module and a regular cardinal we study various notions of -freeness and -separability. Bearing on appropriate set-theoreti…
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 cotorsion pair generated by the class of flat Mittag-Leffler modules
Manuel Cortés-Izurdiaga
Let be a ring and denote by the class of all flat and Mittag-Leffler left -modules. In \cite{BazzoniStovicek2} it is proved that, if is countable, the ort…
Product of flat modules and global dimension relative to -Mittag-Leffler modules
Manuel Cortés-Izurdiaga
Let be any ring. We prove that all direct products of flat right -modules have finite flat dimension if and only if each finitely generated left ideal of has finite proj…