most citedNote on (weak) Gorenstein global dimensions

6 citations · 8 across the 9 of their papers we have counts for

collaborators
Showing math.ACShow all

9 papers · 1 filter

math.AC20091 cited

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

Mohammed Tamekkante

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 theor…

math.AC20096 cited

Note on (weak) Gorenstein global dimensions

Najib Mahdou, Mohammed Tamekkante

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 glo…

math.AC20091 cited

Gorenstein Von Neumann regular rings

Najib Mahdou, Mohammed Tamekkante, Siamak Yassemi

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

math.AC2009

On Gorenstein global dimension in trivial ring extensions

Najib Mahdou, Mohammed Tamekkante

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

math.AC2009

Gorenstein global dimension of Semi-primary rings

Mohammed Tamekkante

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

math.AC2009

Gorenstein weak dimension of a coherent power series rings

Najib Mahdou, Mohammed Tamekkante, Siamak Yassemi

We compute the Gorenstein weak dimension of a coherent power series rings over a commutative rings and we show that, in general, $\gwd(R) \leq 1$ does not imply that is an arit…