Finiteness Criteria in Quasi-resolving Subcategories
Tóm tắt
Từ khóa
Tài liệu tham khảo
Auslander, M., Bridger, M.: Stable Module Theory, No. 94. American Mathematical Society, Providence, Rhode Island (1969)
Avramov, L.L., Martsinkovsky, A.: Absolute, relative and Tate cohomology of modules of finite Gorenstein dimension. Proc. Lond. Math. Soc 85, 393–440 (2002)
Bennis, D., Ouarghi, K.: $${\cal{X}}$$ X -Gorenstein projective modules. Int. Math. Forum 5, 487–491 (2010)
Bravo, D., Gillespie, J.: Absolutely clean, level, and Gorenstein AC-injective complexes. Commun. Algebra 44, 2213–2233 (2016)
Bravo, D., Gillespie, J., Hovey, M.: The stable module category of a general ring (2014). arXiv:1405.5768v1
Christensen, L.W.: Gorenstein Dimensions. Lecture Notes in Mathematics, vol. 1747. Springer, Berlin (2000)
Christensen, L.W., Frankild, A., Holm, H.: On Gorenstein projective, injective and flat dimensions-a functorial description with applications. J. Algebra 302, 231–279 (2006)
Ding, N.Q., Li, Y.L., Mao, L.X.: Strongly Gorenstein flat modules. J. Aust. Math. Soc. 86, 323–338 (2009)
Emmanouil, I., Talelli, O.: Finiteness criteria in Gorenstein homological algebra. Trans. Am. Math. Soc 366, 6329–6351 (2014)
Enochs, E.E., Garcí Rozas, J.R.: Gorenstein injective and projective complexes. Commun. Algebra 5, 1657–1674 (1998)
Enochs, E.E., Jenda, O.M.G.: Gorenstein injective and projective modules. Math. Z. 220, 611–633 (1995)
Sather-Wagstaff, S., Sharif, T., White, D.: Stability of Gorenstein categories. J. Lond. Math. Soc. 77, 481–502 (2008)
Yang, G., Liu, Z.K., Liang, L.: Ding projective and Ding injective modules. Algebra Colloq. 20, 601–612 (2013)
Yang, G., Liu, Z.K., Liang, L.: Model structures on categories of complexes over Ding–Chen rings. Commun. Algebra 41, 50–69 (2013)
Yang, X.Y., Liu, Z.K.: Gorenstein projective, injective and flat complexes. Commun. Algebra 5, 1705–1721 (2011)
Zhao, R.Y., Ding, N.Q.: $$\cal{(W, Y, X)}$$ ( W , Y , X ) -Gorenstein complexes. Commun. Algebra 45, 3075–3090 (2017)