Let (R, m) be ad-dimensional commutative Noetherian local ring. Let M denote the
morphism category of finitely generated R-modules, and let S be the full subcategory of M …

In [H. Krause, O. Solberg, Applications of cotorsion pairs, J. London Math. Soc. 68 (2003)
631–650], the Telescope Conjecture was formulated for the module category ModR of an …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

For an exact category E, we study the Butler's condition “AR= Ex”: the relation of the
Grothendieck group of E is generated by Auslander-Reiten conflations. Under some …

By the Telescope Conjecture for Module Categories, we mean the following claim:“Let R be
any ring and (A, B) be a hereditary cotorsion pair in Mod-R with A and B closed under direct …

We introduce symmetric subcategories of abelian categories and show that the derived
category of the endomorphism ring of any good tilting module over a ring is a recollement of …

For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

Let R be a ring and let A be a hereditary torsion class of R-modules. The inclusion of the
localizing subcategory generated by A into the derived category of R has a right adjoint …

Let R be a Noetherian ring and I an ideal generated by a regular sequence. The category of
I-adically complete R-modules is not Abelian, but it can be enlarged to an Abelian category …