60
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

When ∏ is Isomorphic to ⊕

Pages 4551-4562 | Received 11 May 2005, Published online: 02 Feb 2007

REFERENCES

  • Anderson , D. , Fuller , K. ( 1974 ). Rings and Categories of Modules . Grad. Texts in Math. Berlin-Heidelberg-New York : Springer .
  • Brzeziński , T. , Wisbauer , R. ( 2003 ). Corings and Comodules . London Math. Soc. Lect. Notes Ser. 309 . Cambridge : Cambridge University Press .
  • Castaño Iglesias , F. , Gómez Torrecillas , J. , Năstăssescu , C. ( 1999 ). Frobenius functors: Applications . Comm. Algebra 27 ( 10 ): 4879 – 4900 .
  • Caenepeel , S. Kadison , L. ( 2001 ). Are biseparable extensions Frobenius? K-Theory 24 ( 4 ): 361 – 383 .
  • Caenepeel , S. , De Groot , E. , Militaru , G. ( 2001 ). Frobenius functors of the second kind . Comm. Algebra .
  • Caenepeel , S. , Militaru , G. , Zhu , S. ( 2002 ). Frobenius and Separable Functors for Generalized Module Categories . Lecture Notes in Math. , Vol. 1787 . Springer-Verlag .
  • Dăscălescu , S. , Năstăsescu , C. , Raianu , Ş. ( 2001 ). Hopf Algebras: an Introduction . Vol. 235 . Pure and Applied Mathematics . New York : Marcel Dekker .
  • Mac Lane , S. ( 1950 ). Duality for groups . Bull. Am. Math. Soc. 56 : 485 – 516 .
  • Mac Lane , S. ( 1971 ). Categories for the Working Mathematician. , 2nd ed. New York : Springer-Verlag .
  • Madar , A. , Marcus , A. ( 2000 ). Frobenius functors and functor categories . Studia Univ. Babeç s-Bolyai Math. 45 :( 3 ): 75 – 85 .
  • Madar , A. , Marcus , A. ( 2001 ). Frobenius functors and transfer . Publ. Math. Debrecen 59 ( 3–4 ): 407 – 427 .
  • Menini , C. , Năstăsescu , C. ( 1994 ). When are the induction and coinduction functors isomorphic? . Bull. Belg. Math. Soc. 1 : 521 – 558 .
  • Morita , K. ( 1965 ). Adjoint pairs of functors and Frobenius extensions . Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 9 : 40 – 71 .
  • Regnath , H. , Seibert , G. ( 1998 ). Frobenius functors and invariant factors . Comm. Algebra 26 ( 6 ): 1757 – 1768 .
  • 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.