… In a natural way, ffat covers (and covers by more general … is the study of ffat covers of
complexes of modules. These … that any complex of modules over any ring admits a ffat cover. We …

… covers for any finitely generated module over a Gorenstein local ring. In Chapter 4 we introduce
flat complexes. … In Chapter 5 we give the more interesting applications of this new tensor …

… As a nontrivial application, we show the existence of injective covers … We show that the
existence of nonzero injective covers of … In Chapter 5, as an application of the theory of flat covers …

… In this paper we prove the existence of a flat cover and a cotorsion envelope for any quasi-…
Covers and envelopes in Grothendieck categories. Flat covers of complexes with applications…

… along with indications on the location of flat-band edges (ie level of the conduction band in
the absence of any band-bending). In chemical terms, the flat/band potentials correspond to …

… The application of metal complex-based donors in organic photovoltaics will be covered in
a subsequent chapter. The last chapter of this review highlights the emerging field of triplet–…

… manifolds with c1(X) = 0 allows for an unramified cover X such that the canonical bundle KX
… Ricci-flat. So we start with a compact manifold X with an action of a complex connected Lie …

… We will call the complexes in the class F, flat, and the complexes in the class dg F, dgflat.
Similarly, … and envelopes in Grothendieck categories: flat covers of complexes with applications, …

… One application of Quillen’s notion of a model category is … cotorsion pairs of complexes
induced by the flat cotorsion pair (… chain complex has a flat cover, injective envelope, dg-flat cover…

… of various interfaces using coordination complexes of natural … candidates for biomedical and
environmental applications. … the minimum height of the collapsed flat regions (10.4 ± 0.6 nm)…