… flat as its character module is injective. … flatness and weak-injectivity. A brief reminder of
the situation in the domain case: weak-injective envelopes of flat modules are just their injective …

… is about descent properties of injective/Gorenstein injective modules with respect to Hom …
tensor adjointness in the derived category, and the third by flatness of F. As R is noetherian, the …

… special case of the question on when the d-flatness of 9[X1, X, ,.… [X]/I is a fiat epimorphism
which is also injective, then I is finitely … If we take K to have characteristic two then one sees that …

… Let Κ be a field of characteristic 2 and F a Galois extension of Κ of order 2. Let G = <σ> the
… If R is right self-injective as we converse holds by [7, Theorem 11]. Nevertheless, if R is not …

… A right R-module M is flat if and only if its character module M + is an … of relative injectivity
and injectivity domains of modules. Poor modules are defined as the modules whose injectivity …

… For any left R-module M, idR(M) and fdR(M) will denote the injective and flat dimensions of
M, respectively. The character module HomZ(M, Q/Z) is denoted by M… From the flatness of F0 …

… module with finitely generated injective hull is a tibs module (… module M is rugged if and only
if the character right module … right module is poor or injective if and only if every left module …

… Finally, we study the singly flatness and singly injectivity of homomorphism modules over a
… hull, flat dimension, injective dimension and the character module \({\text {Hom}}_{\mathbb {Z}…

… First, we study the concepts of relative flatness and relative injectivity, with respect to the
tilting module T in short exact sequences. … -injectivity of its character module. • The relative …

… of injective and flat complexes of modules, called weak … weak flatness) of a complex and
that of its cycles. In this paper, we … + stands for the character complex of C. Then we get that a …