Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Access type: Open accessAuthor: search.filters.author.Lomp, Christian

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Now showing 1 - 3 of 3
  • Article
    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.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 15
    When Δ-Semiperfect Rings Are Semiperfect
    (TUBITAK, 2010) Büyükaşık, Engin; Lomp, Christian
    Zhou defined δ -semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are δ -supplemented. Module theoretic version of our results are obtained. © TÜBİTAK.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 14
    Rings Whose Modules Are Weakly Supplemented Are Perfect. Applications To Certain Ring Extensions
    (Mathematica Scandinavica, 2009) Büyükaşık, Engin; Lomp, Christian
    In this note we show that a ring R is left perfect if and only if every left R-module is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left R-module has a weak supplement.