We provide additional information concerning the important Matlis category equivalence
between the categories of h-divisible torsion and R-complete torsion-free R-modules over …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …

This paper is a sequel to [L. Positselski, Dedualizing complexes and MGM duality, J. Pure
Appl. Algebra 220 (12)(2016) 3866–3909, arXiv: 1503.05523 [math. CT]; Contraadjusted …

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 …

Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

The aim of this paper is to unify classification theories of torsion classes of finite dimensional
algebras and commutative Noetherian rings. For a commutative Noetherian ring R and a …

Let R be a discrete valuation domain with field of fractions Q and maximal ideal generated
by. Let be an R-order such that is a separable Q-algebra. Maranda showed that there exists …

Over a commutative noetherian ring R of finite Krull dimension, we show that every complex
of flat cotorsion R-modules decomposes as a direct sum of a minimal complex and a …

For a hereditary torsion theory τ, a module is called τ-divisible if it is injective with respect to
every monomorphism having a τ-torsionfree cokernel. Alongside of some properties of the …

For a hereditary torsion theory τ, a module A is called τ-completedly decomposable if it is a
direct sum of modules that are the τ-injective hull of each of their non-zero submodules. We …