417
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Basic Module Theory for General Rings

&
Pages 291-314 | Received 29 Jun 2010, Published online: 17 Jan 2012

REFERENCES

  • Abrams , G. ( 1983 ). Morita equivalence for rings with local units . Comm. Algebra 11 : 801 – 837 .
  • Anh , P. N. , Márki , L. ( 1987 ). Morita equivalences for rings without identity . Tsukuba J. Math. 11 : 1 – 16 .
  • Dauns , J. ( 1994 ). Modules and Rings . Cambridge/New York/Melbourne : Cambridge University Press .
  • Estrada , S. , González-Férez , J. , Marín , L. ( 2008 ). Quillen's small object argument in the category of firm modules . J. Algebra 319 : 2518 – 2532 .
  • Faith , C. , Algebra , I. ( 1973 ). Rings, Modules and Categories . New York/Heidelberg : Springer-Verlag .
  • García , J. L. , Marín , L. ( 2000 ). Some properties of tensor-idempotent rings . Contemp. Math. 259 : 223 – 235 .
  • García , J. L. , Marín , L. ( 2001 ). Watts theorems for associative rings . Comm. Algebra 29 : 5799 – 5834 .
  • García , J. L. , Marín , L. ( 2001 ). Morita theory for associative rings . Comm. Alg. 29 : 5835 – 5856 .
  • García , J. L. , Simón , J. J. ( 1991 ). Morita equivalence for idempotent rings . J. Pure Appl. Algebra 76 : 39 – 56 .
  • González-Férez , J. , Marín , L. (2007). The category of firm modules need not be abelian. J. Algebra 318:377–392.
  • Marín , L. ( 1997 ). Categories of modules for idempotent rings and Morita equivalences . M.Sc. Thesis, University of Glasgow .
  • Marín , L. ( 2000 ). The construction of a generator for R-DMod, Lect . Notes In: Pure and Appl. Math. Vol. 210 , Marcel Dekker , New York/Basel , pp. 287 – 296 .
  • Morita , K. ( 1958 ). Duality for modules and its applications to the theory of rings with minimum condition . Sci. Reports Tokyo Kyoiku D. 6 : 83 – 142 .
  • Parvathi , M. , Rajendran , P. A. ( 1984 ). Gamma rings and Morita equivalence . Comm. in Algebra 12 : 1781 – 1786 .
  • Quillen , D. ( 1997 ). Module theory for nonunital rings. Chapter 1. Unpublished manuscript .
  • Stenström , B. ( 1975 ). Rings of quotients . Berlin/Heidelberg/New York : Springer-Verlag .
  • Weibel , C. A. ( 1994 ). An introduction to homological algebra . Cambridge/New York/ Melbourne : Cambridge Univ. Press .
  • Communicated by T. Albu.

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.