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- W2106866811 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 compatibility conditions between rings and corings whenever both structures admit the same underlying bimodule. Several examples are expounded in this case. We also show that there is a class of right modules over a bi-monoid which is a monoidal category and the forgetful functor to the ground category is a strict monoidal functor." @default.
- W2106866811 created "2016-06-24" @default.
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- W2106866811 date "2009-05-06" @default.
- W2106866811 modified "2023-09-26" @default.
- W2106866811 title "Compatibility Conditions Between Rings and Corings" @default.
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- W2106866811 doi "https://doi.org/10.1080/00927870802070314" @default.
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