Compatibility Condition between ring and coring
classification
🧮 math.RA
keywords
compatibilityconditioncoringnotionringadmitalgebrabi-monoid
read the original 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.
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