REFERENCES
- Brzeziński , T. , Wisbauer , R. ( 2003 ). Corings and Comodules . Cambridge : Cambridge University Press .
- Burris , S. , Sankappanavar , H. P. ( 1981 ). A Course in Universal Algebra . Springer-Verlag .
- Caenepeel , S. , Militaru , G. , Shenglin , Z. (1997). Doi-Hopf modules, Yetter-Drinfel'd modules and Frobenius type properties. Trans. Am. Math. Soc. 349:4311–4342.
- Dăscălescu , S. , Năstăsescu , C. , Del Rio , A. , van Oystaeyen , F. ( 1996 ). Gradings of finite support. Applications to injective objects . J. Pure and Appl. Algebra 107 : 193 – 206 .
- Freyd , P. J. ( 1964 ). Abelian Categories: An Introduction to the Theory of Functors . Harper & Row .
- Castaño Iglesias , F. , Gómez Torrecillas , J. , Năstăsescu , C. ( 1999 ). Frobenius functors: Applications . Comm. Algebra 27 : 4879 – 4900 .
- Iovanov , M. C. ( 2006 ). When is the product isomorphic to the coproduct? Comm. Algebra 34 : 4551 – 4562 .
- Iovanov , M. C. ( 2008 ). Frobenius extensions of corings . Comm. Algebra 36 : 869 – 892 .
- Mac Lane , S. ( 1971 ). Categories for the Working Mathematician . Springer-Verlag .
- 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 .
- Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Gordon and Breach .
- Zarouali Darkaoui , M. ( 2007 ). Adjoint and Frobenius pairs of functors for corings . Comm. Algebra 35 : 689 – 724 .
- Communicated by T. Albu.