Relative homological groups over coherent rings

Published in: Quaestiones Mathematicae
Volume 35 , issue 3 , 2012 , pages: 331–352

DOI: 10.2989/16073606.2012.725273

Author(s): Lixin Mao Institute of Mathematics, China

Keywords: F P-injective module , flat module , coherent ring , precover , preenvelope , F P-injective module , flat module , coherent ring , precover , preenvelope

Let R be a left coherent ring. We study the properties of relative homological groups

and

. As applications, we obtain some new approaches to compute the F P-injective and flat dimensions of modules over a left coherent ring.

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