Definitions

1. noun

A mathematical object that generalizes the concept of a module to a bialgebra, often used in algebra and category theory.

“The researcher studied the properties of bimodules in the context of Hopf algebras.”

2. noun

A double module, especially one that is a module over two different rings or algebras, often used in abstract algebra and representation theory.

“The bimodule played a crucial role in the proof of the Morita theorem.”