Bennis, Driss; Mahdou, Najib A generalization of strongly Gorenstein projective modules. (English) Zbl 1176.16008 J. Algebra Appl. 8, No. 2, 219-227 (2009). 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. Cited in 4 ReviewsCited in 19 Documents 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.) Keywords:strongly Gorenstein projective modules; change of rings Citations:Zbl 1118.13014 × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Auslander M., Memoirs. Amer. Math. Soc. 94 (1969) [2] DOI: 10.1016/j.jpaa.2006.10.010 · Zbl 1118.13014 · doi:10.1016/j.jpaa.2006.10.010 [3] DOI: 10.2140/pjm.2000.196.45 · Zbl 1073.20500 · doi:10.2140/pjm.2000.196.45 [4] Cartan H., Princeton Mathematical Series 19, in: Homological Algebra (1956) [5] DOI: 10.1007/BFb0103980 · Zbl 0965.13010 · doi:10.1007/BFb0103980 [6] DOI: 10.1016/j.jalgebra.2005.12.007 · Zbl 1104.13008 · doi:10.1016/j.jalgebra.2005.12.007 [7] DOI: 10.1515/9783110803662 · doi:10.1515/9783110803662 [8] DOI: 10.1007/BF02572634 · Zbl 0845.16005 · doi:10.1007/BF02572634 [9] DOI: 10.1080/00927879308824744 · Zbl 0783.13011 · doi:10.1080/00927879308824744 [10] Enochs E., Nanjing Daxue Xuebao Shuxue Bannian Kan 10 pp 1– [11] DOI: 10.1090/S0002-9947-96-01624-8 · Zbl 0862.13004 · doi:10.1090/S0002-9947-96-01624-8 [12] DOI: 10.1016/j.jpaa.2003.11.007 · Zbl 1050.16003 · doi:10.1016/j.jpaa.2003.11.007 [13] Rotman J. J., An Introduction to Homological Algebra (1979) · Zbl 0441.18018 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.