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arXiv:1207.4856 [math.RT]AbstractReferencesReviewsResources

The Gorenstein projective modules for the Nakayama algebras. I

Claus Michael Ringel

Published 2012-07-20, updated 2013-04-14Version 2

The aim of this note is to outline the structure of the category of the Gorenstein projective modules for a Nakayama algebra. We are going to introduce the resolution quiver of such an algebra. It provides a fast algorithm in order to obtain the Gorenstein projective modules and to decide whether the algebra is a Gorenstein algebra or not, and whether it is CM-free or not.

Categories: math.RT, math.RA
Subjects: 16G10, 16G50, 16D90, 16E05, 16G70, 18G25
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