Search Results

Now showing 1 - 3 of 3

Citation - WoS: 14
Citation - Scopus: 12
Injective modules over down-up algebras
(Cambridge University Press, 2010) Carvalho, Paula A.A.B.; Lomp, Christian; Pusat, Dilek
The purpose of this paper is to study finiteness conditions on injective hulls of simple modules over Noetherian down-up algebras. We will show that the Noetherian down-up algebras A(α, β, γ) which are fully bounded are precisely those which are module-finite over a central subalgebra. We show that injective hulls of simple A(α, β, γ)-modules are locally Artinian provided the roots of X2 − αX − β are distinct roots of unity or both equal to 1.
Completely Cotorsion Modules
(Publishing House of the Bulgarian Academy of Sciences, 2012) Pusat, Dilek
We show that any finitely generated projective cotorsion left module over a ring of left pure global dimension at most 1 is a direct sum of indecomposable direct summands. We deduce that such a ring is left cotorsion and semiperfect if and only if its left cotorsion envelope is finitely presented. Some extensions of this result are also discussed.
Citation - WoS: 3
Citation - Scopus: 3
Modules Over Prüfer Domains Which Satisfy the Radical Formula
(Cambridge University Press, 2007) Buyruk, Dilek; Pusat, Dilek
In this paper we prove that if R is a Prüfer domain, then the R-module R ⊕ R satisfies the radical formula. © 2007 Glasgow Mathematical Journal Trust.

Mathematics / Matematik