Results 71 to 80 of about 811 (133)
On the structure of modules defined by subinjectivity
The aim of this paper is to present new results and generalize some results about indigent modules. The commutative rings whose simple modules are indigent or injective are fully determined.
Durgun Y. +8 more
core +2 more sources
On the arithmetic of stable domains. [PDF]
Bashir A, Geroldinger A, Reinhart A.
europepmc +1 more source
The author studies graded modules over graded commutative rings in analogy to the classical theory. He introduces and studies gr-Bass numbers for gr-noetherian modules over gr-noetherian graded rngs, and expresses them in terms of the functor \(Ext\). Further topics include radical and preradical functors, etc. The author also defines and uses abstract
openaire +3 more sources
NOETHERIAN SPECTRUM ON RINGS AND MODULES
It is shown that the well-known characterizations of when a commutative ringRhas Noetherian spectrum carry over to characterizations of when the set Spec(M) of prime submodules of a finitely generated moduleMis Noetherian.
DAVID E. RUSH
core +1 more source
Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]
Patakfalvi Z, Zdanowicz M.
europepmc +1 more source
Big pure projective modules over commutative noetherian rings
A module over a ring R is pure projective provided it is isomorphic to a direct summand of a direct sum of finitely presented modules. We develop tools for the classification of pure projective modules over commutative noetherian rings. In particular, for a fixed finitely presented module M, we consider Add (M), which consists of direct summands of ...
Herbera, Dolors|| +2 more
openaire +1 more source
Converse theorems and the local Langlands correspondence in families. [PDF]
Helm D, Moss G.
europepmc +1 more source
Tests for injectivity of modules over commutative rings
It is proved that a module $ M$ over a commutative noetherian ring $ R$ is injective if $ \mathrm{Ext}_{R}^{i}((R/{\mathfrak p})_{\mathfrak p},M)=0$ for every $ i\ge 1$ and every prime ideal $ \mathfrak{p}$ in~$ R$ .
Christensen, L.W., Iyengar, S.B.
core

