Research Article

Gorenstein semihereditary rings and Gorenstein Prüfer domains

Volume: 22 Number: 22 July 11, 2017
  • Tao Xiong
EN

Gorenstein semihereditary rings and Gorenstein Prüfer domains

Abstract

We investigate the Gorenstein semihereditary rings and Gorenstein
Prüfer domains in terms of the notion of the copure
flat dimension $cfD(R)$ of a ring $R$ which is defined in  [X. H.
Fu and  N. Q. Ding, Comm. Algebra, 38(12) (2010), 4531-4544].

Keywords

References

  1. J. Abuhlail and M. Jarrar, Tilting modules over almost perfect domains, J. Pure Appl. Algebra, 215(8) (2011), 2024-2033.
  2. H. Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc., 95 (1960), 466-488.
  3. D. Bennis, Rings over which the class of Gorenstein at modules is closed under extensions, Comm. Algebra, 37(3) (2009), 855-868.
  4. D. Bennis, A note on Gorenstein at dimension, Algebra Colloq., 18(1) (2011), 155-161.
  5. J. L. Chen and X. X. Zhang, Coherent Rings and FP-injective Rings, Science Press, Beijing, 2014.
  6. E. E. Enochs and O. M. G. Jenda, Copure injective resolutions, at resolvents and dimensions, Comment. Math. Univ. Carolin., 34(2) (1993), 203-211.
  7. E. E. Enochs and O. M. G. Jenda, Relative Homological Algebra, De Gruyter Expositions in Mathematics, 30, Walter de Gruyter & Co., Berlin, 2000.
  8. X. H. Fu and N. Q. Ding, On strongly copure at modules and copure at dimensions, Comm. Algebra, 38(12) (2010), 4531-4544.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tao Xiong This is me

Publication Date

July 11, 2017

Submission Date

July 4, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 22 Number: 22

APA
Xiong, T. (2017). Gorenstein semihereditary rings and Gorenstein Prüfer domains. International Electronic Journal of Algebra, 22(22), 45-61. https://doi.org/10.24330/ieja.325922
AMA
1.Xiong T. Gorenstein semihereditary rings and Gorenstein Prüfer domains. IEJA. 2017;22(22):45-61. doi:10.24330/ieja.325922
Chicago
Xiong, Tao. 2017. “Gorenstein Semihereditary Rings and Gorenstein Prüfer Domains”. International Electronic Journal of Algebra 22 (22): 45-61. https://doi.org/10.24330/ieja.325922.
EndNote
Xiong T (July 1, 2017) Gorenstein semihereditary rings and Gorenstein Prüfer domains. International Electronic Journal of Algebra 22 22 45–61.
IEEE
[1]T. Xiong, “Gorenstein semihereditary rings and Gorenstein Prüfer domains”, IEJA, vol. 22, no. 22, pp. 45–61, July 2017, doi: 10.24330/ieja.325922.
ISNAD
Xiong, Tao. “Gorenstein Semihereditary Rings and Gorenstein Prüfer Domains”. International Electronic Journal of Algebra 22/22 (July 1, 2017): 45-61. https://doi.org/10.24330/ieja.325922.
JAMA
1.Xiong T. Gorenstein semihereditary rings and Gorenstein Prüfer domains. IEJA. 2017;22:45–61.
MLA
Xiong, Tao. “Gorenstein Semihereditary Rings and Gorenstein Prüfer Domains”. International Electronic Journal of Algebra, vol. 22, no. 22, July 2017, pp. 45-61, doi:10.24330/ieja.325922.
Vancouver
1.Tao Xiong. Gorenstein semihereditary rings and Gorenstein Prüfer domains. IEJA. 2017 Jul. 1;22(22):45-61. doi:10.24330/ieja.325922