Coseparable Corings

Abstract

We investigate the relationship between coseparable and cosemisimple corings. In particular we prove that a coring over a separable algebra is coseparable if and only if it is absolutely cosemisimple.

Key Words:

• Coseparable coring
• Cosemisimple coring
• Separable functor
• Tensor product of corings

Acknowledgments

We thank to the referee for very helpful comments. Partially supported by the grant BFM2001-3141 from the Ministerio de Ciencia y Tecnología. This paper was written during the visit of A. Louly to the University of Granada with the financial support of the Agencia Española de Cooperación Internacional and FEDER.