Compatibility Condition between ring and coring

Details Compatibility Condition between ring and coring Compatibility Condition between ring and coring

2007-01-23

arxiv.org/abs/math/0701652v1

Mathematics

Rings and Algebras

Scientific paper

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.

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