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A generalization of strongly Gorenstein projective modules. (English) Zbl 1176.16008

Summary: This paper generalizes the idea of the authors [in J. Pure Appl. Algebra 210, No. 2, 437-445 (2007; Zbl 1118.13014)]. Namely, we define and study a particular case of Gorenstein projective modules. We investigate some change of rings results for this new kind of modules. Examples over not necessarily Noetherian rings are given.

MSC:

16E05 Syzygies, resolutions, complexes in associative algebras
16D80 Other classes of modules and ideals in associative algebras
16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras
16E65 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)

Citations:

Zbl 1118.13014

References:

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