… finitely generated flat module is free. Next we apply these ideas for a look at finitely generated
flat … principal flat ideal which is not projective) it can be shown this to be the case when the …

… the Grothendieck groups of the category of all finitely generated flat S-modules and the
category of all finitely generated projective S-modules respectively. We prove that a semilocal …

… flat and finitely generated A-module is projective, and we will prove that this class of rings is
rather big. If we require that any flat left A -module … but any finitely generated flat module over …

… The main result in section 3 is the following: Let A be a subring of B and M a flat and finitely
generated left Amodule. If BG), M is projective considered as a left B-module, then M is A-…

… n-FGFP-rmg) if every flat left A-module (flat right A-module) generated by η elements is
pro … flat and finitely generated left A module. If B(g)AM is projective considered as a left 5-module…

… In this article, the projectivity of finitely generated flat modules of a commutative … a finitely
many minimal primes or a finitely many maximal ideals then every finitely generated flat module …

… how projective modules over the ring R/J(R) lift to projective or flat modules over R… finitely
generated projective right R/J(R)-module P, there exists a finitely generated flat right R-module …

Let us first recall some definitions from [3]. A ring R is said to be a left-n-FGFP ring (right-n-FGFP
ring) if any τι-generated flat left (right) ii-module is projective. R is called an n-FGFP ring …

… Then AQ is a flat module. The remaining part of this item follows from the fact that AQ is a flat
module and that we have (XT)B ~- (X | Q)Q for any module Xa. Assertion (6) follows from (5) …

Let us first recall some definitions from [3]. A ring R is said to be a left-n-FGFP ring (right-n-FGFP
ring) if any n-generated flat left (right) R-module is projective. R is called an n-FGFP ring …