… that if a finitely generated Q-module L is a lift of an R-module M, … of modules of finite projective
dimension is to understand the behavior of the Hilbert Samuel multiplicity under local flat …

… Mazur distance from a module to a quotient of a finitely generated “matrically free” module of
the form … A module X ∈ A mod is λ-flat if its dual X ⁎ is λ-injective in mod A with respect to its …

… flat module is projective; hence if R is right perfect, then any finitely projective module is
projective… to lift maps to projective modules that cover N. Their result is extended as follows. …

… We show that the flat modules are the only ones sharing the … be lifted to a homomorphism
from M to N, and M is called pure… rian hereditary ring, a finitely generated module M is pp-…

… map to the module generated by the finitely many … a finitely generated module for which
this map is not an injection. But every finitely generated module can be decomposed into a finite …

… (finite) very flatness property of a flat module satisfies descent with respect to commutative
ring homomorphisms of finite … So S is a finitely generated free R-module of rank n. How does …

… perfect commutative rings all finitely generated, countably presented flat modules are quite
… surjective R-module morphism G → F/IF can be lifted to an R-module morphism g : G → F. …

… By max-projectivity of M, there is a g : M → R that is a lift of f. … of a finitely generated projective
right R-module is copure … over which flat covers of finitely generated modules are projective, …

We show that a direct limit of projective contramodules (over a right linear topological ring)
is projective if it has a projective cover. A similar result is obtained for $\infty $ -strictly flat …

… sequence if and only if every module with a projective socle is flat if and only if every gdc-flat
module is flat if and only if every finitely generated module with a projective socle is flat (…