… first Matlis category equivalence was … Matlis additive category equivalence for any ring
epimorphism u : R ⟶ U such that Tor 1 R ( U , U ) = 0 , and the second Matlis category equivalence …

… cotorsion theory to a more general setting and use the class of n-Matlis cotorsion modules
to characterize n-Matlis domains. … Then the following are equivalent for an R-module M: …

… (for the first isomorphism we have applied the Matlis category equivalence over R, see eg
[… We begin with a lemma allowing us to restrict our search to Matlis rings. For a more general …

… Parallel to the class of injective modules in BC(R), we have the class of C-injective modules
in AC(R). Thus, C-injective modules are expected to play the role of the injective objects of …

… Underlying ideas of our approach are the use of a parametric version of the concept of
local cohomology and the Matlis duality. The algorithms are designed to output a set of …

… be able to prove Matlis duality. In particular, we will study the case of Matlis duality when R =
… We write (−) ∨ = HomR(−, ER(k)), which is a contravariant exact functor form the category R-…

… interest are Matlis reflexive modules and we show that they form a Krull–Schmidt category.
This … Thus the description reduces to modules over k[x] or k[y], and we get an equivalence …

… over Matlis domains has projective dimension ≤ 1 ; another reason is that strongly flat modules
over Matlis domains form a resolving class… Then the following statements are equivalent: …

… of the Matlis category equivalence [… class of the so-called standard uniserials which are of
the form Q / I with I a non-zero ideal of R and with Q, as usual, its field of fractions; and the class …

… The generalized Matlis category equivalence for commutative rings (see Matlis [15])
establishes an equivalence between the category M of h-reduced torsion-free Matlis-cotorsion …