186
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On pure Goldie dimensions

Pages 3334-3339 | Received 11 Sep 2015, Published online: 09 Jan 2017

References

  • Adámek, J., Rosický, J. (1994). Locally Presentable and Accessible Categories. London Mathematical Society Lecture Note Series, Vol. 189. Cambridge: Cambridge University Press.
  • Berktaş, M. K. (2014). A uniqueness theorem in a finitely accessible additive category. Algebr. Represent. Theor. 17:1009–1012.
  • Berktaş, M. K. (2015). On objects with a semilocal endomorphism rings in finitely accessible additive categories. Algebr. Represent. Theor. 18:1389–1393.
  • Berktaş, M. K., Guil Asensio, P. A. (2012). The functor category of a finitely accessible additive category. JP J. Algebra Number Theory Appl. 25(2):113–132.
  • Camps, R., Dicks, W. (1993). On semilocal rings. Israel J. Math. 81:203–211.
  • Clark, J., Lomp, C., Vanaja, N., Wisbauer, R. (2006). Lifting Modules. Supplements and Projectivity in Module Theory. Frontiers in Mathematics. Boston: Birkhäuser.
  • Crawley-Boevey, W. W. (1994). Locally finitely presented additive categories. Commun. Algebra 22(5):1641–1674.
  • Diracca, L., Facchini, A. (2002). Uniqueness of monogeny classes for uniform objects in abelian categories. J. Pure Appl. Algebra 172:183–191.
  • Enochs, E., Estrada, S., García Rozas, J. R., Oyonarte, L. (2004). Flat covers in the category of Quasi-coherent sheaves over the projective line. Commun. Algebra 32(4):1497–1508.
  • Facchini, A. (1998). Module Theory. Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules. Progress in Mathematics, Vol. 167. Basel: Birkhauser Verlag.
  • Facchini, A., Herbera, D. (2006). Local morphisms and modules with a semilocal endomorphism ring. Algebr. Represent. Theor. 9:403–422.
  • Herbera, D., Shamsuddin, A. (1995). Modules with semi-local endomorphism ring. Proc. Am. Math. Soc. 123: 3593–3600.
  • Herzog, I. (2003). Pure-injective envelopes. J. Algebra Appl. 4:397–402.
  • Kasch, F. (1982). Modules and Rings. London and New York: Academic Press.
  • Krause, H. (2003). Uniqueness of uniform decompositions in abelian categories. J. Pure Appl. Algebra 183:125–128.
  • Stenström, B. (1975). Rings of Quotients. Berlin, Heidelberg, New York: Springer-Verlag.
  • Xu, J. (1996). Flat Covers of Modules. Lecture Notes in Mathematics, Vol. 1634. Berlin, Heidelberg, New York: Springer-Verlag.

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.