50
Views
0
CrossRef citations to date
0
Altmetric
Research Article

A note on Matlis localizations

ORCID Icon
Pages 1329-1335 | Received 04 Aug 2023, Accepted 16 Sep 2023, Published online: 05 Oct 2023

References

  • Angeleri Hügel, L., Herbera, D., Trlifaj, J. (2005). Divisible modules and localizations. J. Algebra 294(2):519–551. DOI: 10.1016/j.jalgebra.2005.03.019.
  • Bazzoni, S., Positselski, L. (2019). S-almost perfect commutative rings. J. Algebra 532:323–356. DOI: 10.1016/j.jalgebra.2019.05.018.
  • Bazzoni, S., Salce, L. (2002). Strongly flat covers. J. London Math. Soc. 66(2):276–294. DOI: 10.1112/S0024610702003526.
  • Cartan, H., Eilenberg, S. (1956). Homological Algebra. Princeton: Princeton University Press.
  • Fuchs, L., Lee, S. B. (2009). The functor Hom and cotorsion theories. Commun. Algebra 37(3):923–932. DOI: 10.1080/00927870802278602.
  • Fuchs, L., Lee, S. B. (2017). On modules over commutative rings. J. Aust. Math. Soc. 103:341–356. DOI: 10.1017/S1446788717000313.
  • Fuchs, L., Salce, L. (2001). Modules over Non-Noetherian Domains. Volume 84 of Mathematical Surveys and Monographs. Providence, RI: American Mathematical Society.
  • Fuchs, L., Salce, L., Trlifaj, J. (2004). Strongly flat modules over Matlis domains. In: Rings, Modules, Algebras, and Abelian Groups. Proceedings International Algebra Conference-Venezia. Lecture Notes Pure Applied Mathematics, Vol. 236. New York: Marcel Dekker, pp. 205–218.
  • Gobel, R., Trlifaj, J. (2012). Approximations and Endomorphism Algebras of Modules. De Gruyter Expositions in Mathematics, Vol. 41. Berlin: Walter de Gruyter GmbH & Co. KG.
  • Matlis, E. (1964). Cotorsion Modules. Memoirs of the American Mathematical Society, Vol. 49. Providence, RI: American Mathematical Society, 66 p. DOI: 10.1090/memo/0049.
  • Positselski, L., Slavik, A. (2019). On strongly flat and weakly cotorsion modules. Math. Z. 291(3–4):831–875. DOI: 10.1007/s00209-018-2116-z.
  • Wang, F. G., Kim, H. (2016). Foundations of Commutative rings and Their Modules. Singapore: Springer.
  • Wang, F. G., Liao, J. L. (2011). S-injective modules and S-injective envelopes. Acta Math. Sinica (Chin. Ser.) 54(2):271–284. (in Chinese)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.