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2010 The Orthogonal Complement Relative to the Functor Extension of the Class of all Gorenstein Projective Modules
Mohammed Tamekkante
Afr. Diaspora J. Math. (N.S.) 10(2): 72-80 (2010).

Abstract

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

Citation

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Mohammed Tamekkante . "The Orthogonal Complement Relative to the Functor Extension of the Class of all Gorenstein Projective Modules." Afr. Diaspora J. Math. (N.S.) 10 (2) 72 - 80, 2010.

Information

Published: 2010
First available in Project Euclid: 29 November 2010

zbMATH: 1251.13013
MathSciNet: MR2774259

Subjects:
Primary: 13D05
Secondary: 13D02

Rights: Copyright © 2010 Mathematical Research Publishers

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Vol.10 • No. 2 • 2010
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