66
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On ℵ0-Injectivity

Pages 3883-3896 | Received 01 Apr 2003, Published online: 24 Jun 2011

References

  • Ara , P. 1986 . On ℵ0-injective regular rings . J. Pure. Appl. Algebra , 42 : 89 – 115 .
  • Baer , R. 1940 . Abelian groups that are direct summands of every containing abelian group . Proc. Am. Math. Soc. , 46 : 800 – 806 .
  • Boratynski , M. 1971 . On the injective dimension of ℵ-injective modules . Bull. Acad. Polon. Sci. Sr. Math. Astronom. Phys. , 19 : 705 – 709 .
  • Byrd , K. A. 1972 . Rings whose quasi-injective modules are injective . Proc. Am. Math. Soc. , 33 ( 2 ) : 235 – 240 .
  • Dung , N. V. , Huynh , D. V. , Smith , P. F. and Wisbauer , R. 1994 . Extending Modules Pitman . LNM 313
  • Eklof , P. and Sabbagh , G. 1971 . Model-completions and modules . Ann. Math. logic , 2 ( 3 ) : 251 – 295 .
  • Estaji , A. A. and Karamzadeh , O. A. S. On C(X) modulo its Socle. To appear in Comm. Algebra
  • Faith , C. 1998 . Rings and Things and a Fine Array of Twentieth Century Associative Algebra , Mathematical Surveys and Monographs American Mathematical Society .
  • Goodearl , K. R. 1991 . Von-Neumann Regular Rings Malabar , Florida : Krieger Publishing Company .
  • Goodearl , K. R. , Handelman , D. and Lawrence , J. W. 1980 . Affine representations of Grothendieck groups and applications to Rickart C*-algebras and C*-algebras and ℵ0-continuous regular rings . Mem. Am. Math. Soc. , 234
  • Jensen , C. U. and Lenzing , H. 1989 . Model Theoretic Algebra Gordon and Breach .
  • Karamzadeh , O. A. S. 1982 . Modules whose countably generated submodules are epimorphic images . Colloquim Mathematicum ,
  • Karamzadeh , O. A. S. 1997 . On a question of Matlis . Comm. Algebra , 25 ( 9 ) : 2717 – 2726 .
  • Karamzadeh , O. A. S. and Koochakpour , A. A. 1999 . On ℵ0-selfinjectivity of strongly regular rings . Comm. Algebra , 27 : 1501 – 1513 .
  • Lawrence , J. 1977 . A countable self-injective ring is quasi-Frobenius . Proc. Am. Math. Soc. , 65 : 217 – 220 .
  • Matlis , E. 1983 . Minimal spectrum of reduced rings . Illionois. J. Math. , 27 : 353 – 391 .
  • Michler , G. O. and Villamayor , O. E. 1973 . On rings whose simple modules are injective . J. Algebra , 25 : 185 – 201 .
  • Osofsky , B. 1966 . Cyclic injective modules of full linear rings . Proc. Am. Math. Soc. , 17 : 247 – 253 .
  • Rangaswamy , K. M. 1974 . Regular and Baer rings . Proc. Am. Math. Soc. , 42 : 354 – 358 .
  • Tuganbaev , A. A. 1998 . Semidistributive Modules and Rings Kluwer Academic Publishing .
  • Wisbauer , R. 1991 . Foundations of Module and Ring Theory Gordon and Breach .
  • Yue Chi Ming , R. 1992 . On V-rings, p-V-rings and injectivity . Kyungpook Math. J. , 32 ( 2 ) : 219 – 228 .
  • #Communicated by R. Wisbauer.

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.