On Strongly Flat and Ω-Mittag-Leffler Objects in the Category ((R-mod)op, Ab)
L Mao - Mediterranean journal of mathematics, 2013 - Springer
A functor of the functor category ((R-mod) op, Ab) is said to be strongly flat (resp. Ω-Mittag-
Leffler) if any morphism from any finitely generated functor to it factors through a
representable (resp. finitely presented) functor. We investigate the properties of strongly flat
and Ω-Mittag-Leffler functors, which are generalizations of analogous classical module-
theoretic properties.
Leffler) if any morphism from any finitely generated functor to it factors through a
representable (resp. finitely presented) functor. We investigate the properties of strongly flat
and Ω-Mittag-Leffler functors, which are generalizations of analogous classical module-
theoretic properties.
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