… mod-R of finitely presented modules. As part of our analysis of a pure projective 1tilting module
T, we … [3], has enough pure projective modules, and (Theorem 4.6) that if T is a classical 1-…

… By a tilting module, we mean a tilting module of projective … τ-tilting module of finite projective
dimension is a tilting module. In … τ-tilting but not τ-tilting module of finite projective dimension …

… /Z is a tilting module in the category of torsion Z-modules (= cr[… shows how close tilting modules
are to projective generators. … in a[M] is weakly M-injective if and only if it is absolutely pure …

… projective support τ-tilting modules? In this note, we give a construction of non-trivial Gorenstein
projective (support) τ-tilting modules. … Gorenstein projective (support) τ-tilting modules. …

… This allows us to prove our main result (Theorem 7.5); that is, we show that the heart H is a
Grothendieck category if and only if the tilting module T is pure projective, generalizing to the …

… projective! In this paper, we combine Gorenstein projective modules with τ-tilting modules to
… between Gorenstein homological algebra and τ-tilting theory. We should remark that it was …

… For a tilting module, we mean the tilting module of projective … tilting modules are precisely
faithful support τ-tilting modules. … that tilting modules are precisely τ-tilting module of projective …

… of a tilting module T is Miyashita’s generalized version, allowing for arbitrary finite projective
… Bearing in mind that T is 2-pure-split, we conclude lim At= At by (18, Proposition 13.55]. …

… Recall that a -module T in mod is called a tilting module of finite projective dimension if
the projective dimension of T is n < ∞, Exti (T, T) = 0 holds for i ≥ 1, and there is an exact …

… have tilting modules that are both generated and cogenerated by projective–injective
modules. … which have a tilting–cotilting module generated–cogenerated by projective–injective …