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Mohammed Tamekkante

  1. Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal.

    Пнд, 11/09/2009 - 16:01 — SomNambul
    Authors: Najib Mahdou, Mohammed Tamekkante
    Subjects: Commutative Algebra
    Abstract

    In this paper, we study the Gorenstein global dimension of an
    \emph{amalgamated duplication} of a coherent ring along a regular principal
    ideal.

  2. The Right Orthogonal Class $\GP(R)^{\perp}$ via $\Ext$.

    Пнд, 11/09/2009 - 16:01 — SomNambul
    Authors: Mohammed Tamekkante
    Subjects: Commutative Algebra
    Abstract

    In this paper, we study the pair $(\GP(R),\GP(R)^{\perp})$ where $\GP(R)$ is
    the class of all Gorenstein projective modules. We prove that it is complete
    hereditary cotorsion theory provided $l.\Ggldim(R)<\infty$. We discuss also,
    when every Gorenstein projective module is Gorenstein flat.

  3. Note on (weak) Gorenstein global dimensions.

    Пнд, 11/02/2009 - 16:01 — SomNambul
    Authors: Najib Mahdou, Mohammed Tamekkante
    Subjects: Commutative Algebra
    Abstract

    In this note we characterize the (resp., weak) Gorenstein global dimension
    for an arbitrary ring. Also, we extend the well-known Hilbert's syzygy Theorem
    to the weak Gorenstein global dimension and we study the weak Gorenstein
    homological dimensions of direct product of rings, which gives examples of
    non-coherent rings of finite Gorenstein dimensions $>0$ and infinite classical
    weak dimension.

  4. Gorenstein Von Neumann regular rings.

    Втр, 10/27/2009 - 16:01 — SomNambul
    Authors: Najib Mahdou, Mohammed Tamekkante, Siamak Yassemi
    Subjects: Commutative Algebra
    Abstract

    In this paper, we study the rings with zero Gorenstein weak dimensions, which
    we call them Gorenstein Von Neumann regular rings.

  5. On Gorenstein global dimension in trivial ring extensions.

    Втр, 09/29/2009 - 15:21 — SomNambul
    Authors: Najib Mahdou, Mohammed Tamekkante
    Subjects: Commutative Algebra
    Abstract

    In this paper, we compare the Gorenstein homological dimension of a ring $R$
    and of its trivial ring extension by an module $E$.

  6. On Gorenstein global dimension in trivial ring extensions.

    Втр, 09/29/2009 - 15:21 — SomNambul
    Authors: Najib Mahdou, Mohammed Tamekkante
    Subjects: Commutative Algebra
    Abstract

    In this paper, we compare the Gorenstein homological dimension of a ring $R$
    and of its trivial ring extension by an module $E$.

  7. Gorenstein global dimension of Semi-primary rings.

    Втр, 09/29/2009 - 15:21 — SomNambul
    Authors: Mohammed Tamekkante
    Subjects: Commutative Algebra
    Abstract

    The aim of this paper is the study of Gorenstein global and weak dimensions
    of semi-primary rings.

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