Compatibility Condition between ring and coring
Rings and Algebras
2007-05-23 v1
Abstract
We introduce the notion of bi-monoid in general monoidal category generalizing by this the notion of bialgebra. In the case of bimodules over a noncommutative algebra, we obtain a compatibility condition between ring and coring whenever both structures admit the same underlying bimodule.
Cite
@article{arxiv.math/0701652,
title = {Compatibility Condition between ring and coring},
author = {L. El Kaoutit},
journal= {arXiv preprint arXiv:math/0701652},
year = {2007}
}