117
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Boyle’s conjecture and perfect localizations

, , &
Pages 5234-5240 | Received 13 Sep 2017, Published online: 02 May 2018

References

  • Boyle, A. (1974). Hereditary QI-rings. Trans. Am. Math. Soc. 192:115–120.
  • Cartan, H., Eilenberg, S. (1956). Homological Algebra. Princeton, New Jersey: Princeton University Press.
  • Castro Pérez, J., Medina Bárcenas, M., Ríos Montes, J. (2017). Modules with ascending chain condition on annihilators and Goldie modules. Commun. Algebra 45(6):2334–2349.
  • Cozzens, J. H. (1970). Homological properties of the ring of differential polynomials. Bull. Am. Math. Soc. 76(1):75–79.
  • Dauns, J., Zhou, Y. (2008). QI-modules. In: Modules and Comodules. Trends in Mathematics. Basel: Birkhäuser Verlag, pp. 173–183.
  • Faith, C. (1976). On hereditary rings and Boyle’s conjecture. Arch. Math. 27(1):113–119.
  • Golan, J. S. (1986). Torsion Theories, Vol. 29. Essex; New York: Longman Scientific and Technical; John Wiley and Sons.
  • Golan, J. S., Papp, Z. (1980). Cocritically nice rings and boyle’s conjecture. Commun. Algebra 8(18):1775–1798.
  • Kurshan, R. P. (1970). Rings whose cyclic modules have finitely generated socle. J. Algebra 15(3):376–386.
  • Lam, T. Y. (1999). Lectures on Modules and Rings. Berlin-Heidelberg-New York: Springer-Verlag
  • Popescu, N. (1973). Abelian Categories with Applications to Rings and Modules. London: Academic Press.
  • Stenström, B. (1975). Rings of Quotients: An Introduction to Methods of Ring Theory. Berlin-Heidelberg-New York: Springer-Verlag.
  • Van Huynh, D., Rizvi, S. T. (1997). An approach to Boyle’s conjecture. Proc. Edinb. Math. Soc. 40:267–273.

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.