… category of an Artin algebra Λ deserves special attention also from the functor category …
Further, typical objects raised by projective covers ( P → p C ) and injective envelopes ( C → e I ) …

… a new tensor product functor in the category of complexes. We … 4.6], we know that any complex
over this ring has a flat cover. Given … of this class and this gives a cotorsion envelope of C. …

… This connection to adjoint functors is our motivation to … flat covers and cotorsion envelopes,
we show that the pair (Cp(FlatX), C(dg-CofX)) is a complete cotorsion theory in the category C…

… category of “spaces” and a category of commutative algebras. In some cases, the resulting
category … A ↦→ ̂A is a functor from the category of algebras to the category of Arens–Michael …

… preserves or reflects %-covers. We apply our general study to the category of graded modules
over a graded ring, by … is the yr-injective envelope of E in R-gr. Then, applying the forgetful …

… C in T (the silting case is shown dually). Let the truncation … and every object admits an
injective envelope. This section is … We answer this question using a suitable category of functors …

… in the particular case when D is … a category, D will denote a full reflective subcategory of C
which is isomorphism-closed. We also denote by F a left adjoint functor of the inclusion functor …

… Thus there is an induced functor in the quotient modA that … N-covers and local N-envelopes,
so we can apply theorem 1.3 and the functor Σ−1 ◦ ν is a Serre functor for the stable category …

… He also conjectured the relation between Dehn twist and twist functors, which is one of our
… To simplify formulations, we will limit ourselves to the case of algebraic varieties. Namely, let …

… cotorsion envelope of R. Actually, we show that these indecomposable direct summands are
just the flat covers of … functor category Func(C, Ab). Note, however, that Flat-R is not a small …