… Similarly as direct sums of pairs of modules are extended to … of test modules for projectivity
depends on the structure of the … By induction, we will construct a direct system of Ext-…

… endowed with a right R-module structure, yielding a functor S ⊗… vanishing result concerning
Gorenstein flat modules and … to completely extend this result to Gorenstein flat modules, but …

… which yields vanishing results for higher Ext groups between … , we extend this result to show
that certain higher Ext groups … 2], we will describe the structure of the centralizer ZG(s) of an …

… and Bass numbers of the modules involved. These, together … We now describe the structure
of the paper. In Section 2, we … In general, trivial vanishing need not ascend along flat local …

… A carries the induced trivial exact structure from Mod ( R ) , … For non-classical tilting modules,
we exhibit an obstruction … ℓ ( A ) and D r ( A ) vanish, a condition which does not refer to any …

… factors through GL2( p), extends the central character of V to Z by … decomposition, we get an
isomorphism of E[K]-modules … The module structure on E comes from the augmentation map …

… structures, the computation of the A∞-structure on Ext ∗ … By considering species instead of
quivers, we extend this result … define modules with costandard filtration which gives rise to the …

… of the finite length Koszul module associated to a subspace \(… This definition has then
been extended by Suciu and … shows that the resonance carries a natural scheme structure …

… crossed modules of Hopf algebras (Chapter 4), crossed modules of … geometric structure
(Chapter 5) and crossed modules of … together with the extended action form a crossed module. In …

… If P is the class of projective R-modules, the model structure induced by the cotorsion pair
(P… This is no longer true if n > 1, but we show a characterization of the complexes in H in terms …