[1] Anderson, F. W., Fuller, K. R.: Rings and Categories of Modules. Graduate Texts in Mathematics 13. Springer, New York (1974). DOI 10.1007/978-1-4684-9913-1 | MR 0417223 | Zbl 0301.16001

[2] Angeleri-Hügel, L.: Endocoherent modules. Pac. J. Math. 212 (2003), 1-11. DOI 10.2140/pjm.2003.212.1 | MR 2016564 | Zbl 1056.16001

[3] Azumaya, G.: Finite splitness and finite projectivity. J. Algebra 106 (1987), 114-134. DOI 10.1016/0021-8693(87)90024-X | MR 0878471 | Zbl 0607.16017

[4] Bennis, D., Maaouy, R. El, Rozas, J. R. García, Oyonarte, L.: On relative counterpart of Auslander's conditions. J. Algebra Appl. 22 (2023), Arrticle ID 2350015, 25 pages. DOI 10.1142/S0219498823500159 | MR 4526175 | Zbl 1507.18013

[5] Camillo, V.: Coherence for polynomial rings. J. Algebra 132 (1990), 72-76. DOI 10.1016/0021-8693(90)90252-J | MR 1060832 | Zbl 0701.16023

[6] Chase, S. U.: Direct products of modules. Trans. Am. Math. Soc. 97 (1960), 457-473. DOI 10.1090/S0002-9947-1960-0120260-3 | MR 0120260 | Zbl 0100.26602

[7] Christensen, L. W.: Semi-dualizing complexes and their Auslander categories. Trans. Am. Math. Soc. 353 (2001), 1839-1883. DOI 10.1090/S0002-9947-01-02627-7 | MR 1813596 | Zbl 0969.13006

[8] Colby, R. R.: Rings which have flat injective modules. J. Algebra 35 (1975), 239-252. DOI 10.1016/0021-8693(75)90049-6 | MR 0376763 | Zbl 0306.16015

[9] Dai, G., Ding, N.: Coherent rings and absolutely pure precovers. Commun. Algebra 47 (2019), 4743-4748. DOI 10.1080/00927872.2019.1595637 | MR 3991048 | Zbl 1470.16008

[10] Ding, N.: Dual modules of specific modules. J. Math. Res. Expo. 10 (1990), 337-340 Chinese. MR 1072438 | Zbl 0788.16005

[11] Ding, N., Chen, J.: Relative coherence and preenvelopes. Manuscr. Math. 81 (1993), 243-262. DOI 10.1007/BF02567857 | MR 1248754 | Zbl 0802.16023

[12] Enochs, E. E., Jenda, O. M. G.: Resolvents and dimensions of modules and rings. Arch. Math. 56 (1991), 528-532. DOI 10.1007/BF01246767 | MR 1106493 | Zbl 0694.16012

[13] Enochs, E. E., Jenda, O. M. G.: Relative Homological Algebra. de Gruyter Expositions in Mathematics 30. Walter de Gruyter, Berlin (2000). DOI 10.1515/9783110803662 | MR 1753146 | Zbl 0952.13001

[14] Jones, M. Finkel: $f$-projectivity and flat epimorphisms. Commun. Algebra 9 (1981), 1603-1616. DOI 10.1080/00927878108822670 | MR 0630577 | Zbl 0472.16008

[15] Jones, M. Finkel, Teply, M. L.: Coherent rings of finite weak global dimension. Commun. Algebra 10 (1982), 493-503. DOI 10.1080/00927878208822731 | MR 0647834 | Zbl 0492.16019

[16] Foxby, H.-B.: Gorenstein modules and related modules. Math. Scand. 31 (1972), 267-284. DOI 10.7146/math.scand.a-11434 | MR 0327752 | Zbl 0272.13009

[17] Göbel, R., Trlifaj, J.: Approximations and Endomorphism Algebras of Modules. de Gruyter Expositions in Mathematics 41. Walter de Gruyter, Berlin (2006). DOI 10.1515/9783110199727 | MR 2251271 | Zbl 1121.16002

[18] Golod, E. S.: $G$-dimension and generalized perfect ideals. Tr. Mat. Inst. Steklova 165 (1984), 62-66 Russian. MR 0752933 | Zbl 0577.13008

[19] Holm, H., Jørgensen, H.: Semi-dualizing modules and related Gorenstein homological dimensions. J. Pure Appl. Algebra 205 (2006), 423-445. DOI 10.1016/j.jpaa.2005.07.010 | MR 2203625 | Zbl 1094.13021

[20] Holm, H., White, D.: Foxby equivalence over associative rings. J. Math. Kyoto Univ. 47 (2007), 781-808. DOI 10.1215/kjm/1250692289 | MR 2413065 | Zbl 1154.16007

[21] Huang, Z.: On the $C$-flatness and injectivity of character modules. Electron. Res. Arch. 30 (2022), 2899-2910. DOI 10.3934/era.2022147 | MR 4432007 | Zbl 1511.16002

[22] Huang, Z., Tang, G.: Self-orthogonal modules over coherent rings. J. Pure Appl. Algebra 161 (2001), 167-176. DOI 10.1016/S0022-4049(00)00109-2 | MR 1834083 | Zbl 0989.16005

[23] Lam, T. Y.: Lectures on Modules and Rings. Graduate Texts in Mathematics 189. Springer, New York (1999). DOI 10.1007/978-1-4612-0525-8 | MR 1653294 | Zbl 0911.16001

[24] Mao, L.: Envelopes, covers and semidualizing modules. J. Algebra Appl. 18 (2019), Article ID 1950137, 12 pages. DOI 10.1142/S0219498819501378 | MR 3977798 | Zbl 1472.16003

[25] Mao, L., Ding, N.: Relative flatness, Mittag-Leffler modules, and endocoherence. Commun. Algebra 34 (2006), 3281-3299. DOI 10.1080/00927870600778555 | MR 2252672 | Zbl 1162.16002

[26] Salimi, M., Tavasoli, E., Moradifar, P., Yassemi, S.: Syzygy and torsionless modules with respect to a semidualizing module. Algebr. Represent. Theory 17 (2014), 1217-1234. DOI 10.1007/s10468-013-9443-x | MR 3228484 | Zbl 1309.13016

[27] Sather-Wagstaff, S.: Semidualizing modules. Available at \let \relax \brokenlink{ https://www.ndsu.edu/}{pubweb/ ssatherw/DOCS/survey.pdf} (2008), 34 pages.

[28] Stenström, B.: Coherent rings and $FP$-injective modules. J. Lond. Math. Soc., II. Ser. 2 (1970), 323-329. DOI 10.1112/jlms/s2-2.2.323 | MR 0258888 | Zbl 0194.06602

[29] Takahashi, R., White, D.: Homological aspects of semidualizing modules. Math. Scand. 106 (2010), 5-22. DOI 10.7146/math.scand.a-15121 | MR 2603458 | Zbl 1193.13012

[30] Tang, X.: $FP$-injectivity relative to a semidualizing bimodule. Publ. Math. Debr. 80 (2012), 311-326. DOI 10.5486/PMD.2012.4907 | MR 2943005 | Zbl 1274.16005

[31] Vasconcelos, W. V.: Divisor Theory in Module Categories. North-Holland Mathematics Studies 14. North-Holland, Amsterdam (1974). DOI 10.1016/s0304-0208(08)x7021-5 | MR 0498530 | Zbl 0296.13005

[32] Yan, X. G., Zhu, X. S.: Characterizations of some rings with $\mathcal{C}$-projective, $\mathcal{C}$-($FP$-)injective and $\mathcal{C}$-flat modules. Czech. Math. J. 61 (2011), 641-652. DOI 10.1007/s10587-011-0036-8 | MR 2853080 | Zbl 1249.13004

[33] Zhang, D., Ouyang, B.: Semidualizing modules and related modules. J. Algebra Appl. 10 (2011), 1261-1282. DOI 10.1142/S0219498811005695 | MR 2864574 | Zbl 1254.16003