… The main purpose of this article is to extend the flat cotorsion theory to a more general …
modules, n-flat modules, and σ-dimensions of modules and rings. Let M be a right R-module and …

… Finally, a relatively flat dimension for M £ _M and a left global relatively flat dimension for H
… that the left global relatively flat dimension of R coincides with the left global flat dimension of …

… of Hopf-type modules such as Hopf modules, relative Hopf modules, Long dimodules, Doi-…
Then we interpret entwined (ie Hopf-type) modules as comodules with flat connections …

… Since M is projective as an RH-module, it suffices to prove that M is projective relative to H.
By DG Higman’s criterion (see for example Proposition 3.6.4 of [3]), this amounts to showing …

… We prove that all direct products of flat right R-modules have finite flat dimension if …
relative to the class of all FMittag-Leffler left R-modules, where F is the class of all flat right R-modules. …

… ); (3) applying flat covers and minimal flat resolutions to study … between injective modules
and flat modules. Chapter 1 gives … modules is relatively simple but that of injective modules and …

… modules. For the standard notation and terminology in module theory, as well as for the
properties of flat modules… ) finitely presented modules, while the relative divisibility is projectively …

… Assuming closure under extensions for relative Gorenstein flat modules, we shall be able to
… modules are the cofibrant objects. As a consequence, we obtain Gillespie’s Gorenstein flat …

… ii) The dual module of each flat module M such that r(P)M = M, is a flat right R-… I is a direct
system of flat left R-modules and thus sm P; is a flat module. On the other hand, we easily see …

… prove that relatively flat modules are closed under extensions with respect to relative exact
… necessary and sufficient condition for relative factor modules of relatively flat modules to be …