Quasi-Frobenius functors. Applications
环与代数
2008-09-03 v2
摘要
We investigate functors between abelian categories having a left adjoint and a right adjoint that are \emph{similar} (these functors are called \emph{quasi-Frobenius functors}). We introduce the notion of a \emph{quasi-Frobenius bimodule} and give a characterization of these bimodules in terms of quasi-Frobenius functors. Some applications to corings and graded rings are presented. In particular, the concept of quasi-Frobenius homomorphism of corings is introduced. Finally, a version of the endomorphism ring Theorem for quasi-Frobenius extensions in terms of corings is obtained.
引用
@article{arxiv.math/0612662,
title = {Quasi-Frobenius functors. Applications},
author = {F. Castano Iglesias and C. Nastasescu and J. Vercruysse},
journal= {arXiv preprint arXiv:math/0612662},
year = {2008}
}
备注
20 pages, major changes in v2