Homological properties of modules with finite weak injective and weak flat dimensions

Preprint English OPEN
Zhao, Tiwei;
(2017)

In this paper, we define a class of relative derived functors in terms of left or right weak flat resolutions to compute the weak flat dimension of modules. Moreover, we investigate two classes of modules larger than that of weak injective and weak flat modules, study t... View more
  • References (25)
    25 references, page 1 of 3

    [1] Aldrich, S. T., Enochs, E. E., Jenda, O. M. G., Oyonarte, L.: Envelopes and covers by modules of finite injective and projective dimensions. J. Algebra 242, 447-459 (2001)

    [2] Anderson, F. W., Fuller, K. R.: Rings and Categories of Modules. Springer-Verlag, New York (1974)

    [3] Auslander, M., Smalø, S. O.: Preprojective modules over Artin algebras. J. Algebra 66, 61-122 (1980)

    [4] Bravo, D., Gillespie, J., Hovey, M.: The stable module category of a general ring. arXiv:1405.5768, (2014)

    [5] Ding, N.: On envelopes with the unique mapping property. Comm. Algebra 24(4), 1459-1470 (1996)

    [6] Eklof, P., Trlifaj, J.: Covers induced by Ext1. J. Algebra 231, 640-651 (2000)

    [7] Enochs, E. E.: Injective and flat covers, envelopes and resolvents. Israel J. Math. 39, 189-209 (1981)

    [8] Enochs, E. E., Jenda, O. M. G.: Relative Homological Algebra. de Gruyter Exp. Math., vol. 30. Walter de Gruyter, Berlin (2000)

    [9] Gao, Z., Huang, Z.: Weak injective covers and dimension of modules. Acta Math. Hungar. 147(1), 135-157 (2015)

    [10] Gao, Z., Wang, F.: All Gorenstein hereditary rings are coherent. J. Algebra Appl. 13(4), 1350140 (5 pages) (2014)

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