# The Right Orthogonal Class $GPR^{perp}$ via $Ext$ - Mathematics > Commutative Algebra

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Abstract: In this paper, we study the pair $\GPR,\GPR^{\perp}$ where $\GPR$ isthe class of all Gorenstein projective modules. We prove that it is completehereditary cotorsion theory provided $l.\GgldimR<\infty$. We discuss also,when every Gorenstein projective module is Gorenstein flat.

Author: Mohammed Tamekkante

Source: https://arxiv.org/