Results 71 to 80 of about 811 (133)

On the structure of modules defined by subinjectivity

open access: yes, 2019
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]

open access: yesCommun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

Structural theorem for gr-injective modules over gr-noetherian G-graded commutative rings and local cohomology functors

open access: yesIzvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ., 2019
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

Logarithmically regular morphisms. [PDF]

open access: yesMath Ann, 2021
Molcho S, Temkin M.
europepmc   +1 more source

NOETHERIAN SPECTRUM ON RINGS AND MODULES

open access: yes, 2011
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

Big pure projective modules over commutative noetherian rings

open access: yes
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

Tests for injectivity of modules over commutative rings

open access: yes, 2015
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  

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