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Paula A.A.B. Carvalho

  1. Monolithic modules over Noetherian Rings.

    Tue, 01/12/2010 - 16:01 — SomNambul
    Authors: Paula A.A.B. Carvalho, Ian M. Musson
    Subjects: Rings and Algebras
    Abstract

    We study finiteness conditions on essential extensions of simple modules over
    the quantum plane and over some Noetherian down-up algebras. The results
    achieved improve the ones obtained in [arXiv:0906.2930] for down-up algebras.

  2. Double Ore Extensions versus Iterated Ore Extensions.

    Fri, 09/18/2009 - 11:36 — SomNambul
    Authors: Paula A.A.B. Carvalho, Samuel A. Lopes, Jerzy Matczuk
    Subjects: Rings and Algebras
    Abstract

    Motivated by the construction of new examples of Artin-Schelter regular
    algebras of global dimension four, J.J. Zhang and J. Zhang (2008) introduced an
    algebra extension $A_P[y_1,y_2;\sigma,\delta,\tau]$ of $A$, which they called a
    double Ore extension. This construction seems to be similar to that of a
    two-step iterated Ore extension over $A$. The aim of this paper is to describe
    those double Ore extensions which can be presented as iterated Ore extensions
    of the form $A[y_1;\sigma_1, \delta_1][y_2;\sigma_2, \delta_2]$.

  3. Double Ore Extensions versus Iterated Ore Extensions.

    Fri, 09/18/2009 - 11:36 — SomNambul
    Authors: Paula A.A.B. Carvalho, Samuel A. Lopes, Jerzy Matczuk
    Subjects: Rings and Algebras
    Abstract

    Motivated by the construction of new examples of Artin-Schelter regular
    algebras of global dimension four, J.J. Zhang and J. Zhang (2008) introduced an
    algebra extension $A_P[y_1,y_2;\sigma,\delta,\tau]$ of $A$, which they called a
    double Ore extension. This construction seems to be similar to that of a
    two-step iterated Ore extension over $A$. The aim of this paper is to describe
    those double Ore extensions which can be presented as iterated Ore extensions
    of the form $A[y_1;\sigma_1, \delta_1][y_2;\sigma_2, \delta_2]$.

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