On Generalized m-flat Modules

Epic Envelopes by Generalized Flat Modules

We establish equivalent conditions under which every right Rmodule has an epic X -envelope, when X is a Tor-orthogonal class of left-Rmodules. As particular cases, one may recover and complete known results on various generalizations of flatness. MSC 2000. 16D50, 16D40.

Generalized Derivations on Modules

generalized derivations on modules

Periodic Flat Modules, and Flat Modules for Finite Groups

If R is a ring of coefficients and G a finite group, then a flat RG-module which is projective as an R-module is necessarily projective as an RG-module. More generally, if H is a subgroup of finite index in an arbitrary group Γ, then a flat RΓmodule which is projective as an RH-module is necessarily projective as an RΓ-module. This follows from a generalization of the first theorem to modules o...

Approximately Quasi Inner Generalized Dynamics on Modules

We investigate some properties of approximately quasi inner generalized dynamics and quasi approximately inner generalized derivations on modules. In particular, we prove that if A is a C*-algebra, is the generator of a generalized dynamics on an A-bimodule M satisfying and there exist two sequences of self adjoint elements in A such that for all in a core for , , then is approx...