References
- H. Bass, Big projective modules are free, Illinois J. Math. 7 (1963), 24-31. https://doi.org/10.1215/ijm/1255637479
- D. Bennis, K. Hu, and F. Wang, Gorenstein analogue of Auslander's theorem on the global dimension, Comm. Algebra 43 (2015), no. 1, 174-181. https://doi.org/10.1080/00927872.2014.897557
- D. Bennis and N. Mahdou, Strongly Gorenstein projective, injective, and at modules, J. Pure Appl. Algebra 210 (2007), no. 2, 437-445. https://doi.org/10.1016/j.jpaa.2006.10.010
- E. E. Enochs and O. M. G. Jenda, Gorenstein injective and projective modules, Math. Z. 220 (1995), no. 4, 611-633. https://doi.org/10.1007/BF02572634
- H. Holm, Gorenstein homological dimensions, J. Pure Appl. Algebra 189 (2004), no. 1-3, 167-193. https://doi.org/10.1016/j.jpaa.2003.11.007
- K. Hu and F. Wang, Some results on Gorenstein Dedekind domains and their factor rings, Comm. Algebra 41 (2013), no. 1, 284-293. https://doi.org/10.1080/00927872.2011.629268
- K. Hu, F. Wang, L. Xu, and S. Zhao, On overrings of Gorenstein Dedekind domains, J. Korean Math. Soc. 50 (2013), no. 5, 991-1008. https://doi.org/10.4134/JKMS.2013.50.5.991
- I. Kaplansky, Commutative Rings, revised edition, The University of Chicago Press, Chicago, IL, 1974.
- N. Mahdou and M. Tamekkante, On (strongly) Gorenstein (semi) hereditary rings, Arab. J. Sci. Eng. 36 (2011), no. 3, 431-440. https://doi.org/10.1007/s13369-011-0047-7
- N. Mahdou and M. Tamekkante, Strongly n-Gorenstein projective, injective, and at modules, Acta Math. Univ. Comenian. (N.S.) 87 (2018), no. 1, 35-53.
- E. Matlis, The two-generator problem for ideals, Michigan Math. J. 17 (1970), 257-265. https://doi.org/10.1307/mmj/1029000474
- J. J. Rotman, An Introduction to Homological Algebra, second edition, Universitext, Springer, New York, 2009.
- L. Salce, Warfield domains: module theory from linear algebra to commutative algebra through abelian groups, Milan J. Math. 70 (2002), 163-185. https://doi.org/10.1007/s00032-002-0005-7
- F. Wang and H. Kim, Foundations of Commutative Rings and their Modules, Algebra and Applications, 22, Springer, Singapore, 2016.
- X. Yang and Z. Liu, Strongly Gorenstein projective, injective and at modules, J. Algebra 320 (2008), no. 7, 2659-2674. https://doi.org/10.1016/j.jalgebra.2008.07.006
- G. Zhao and Z. Huang, n-strongly Gorenstein projective, injective and at modules, Comm. Algebra 39 (2011), no. 8, 3044-3062. https://doi.org/10.1080/00927872.2010.496749