nLab central bimodule

If RR is a commutative ring then a central bimodule is an RR-RR-bimodule whose right action is obtained from the left by precomposing it with the flip of tensor factors.

If RR is an associative ring (or more generally an associative kk-algebra over a ground commutative ring kk) then a central bimodule is a bimodule whose restriction to a structure of a bimodule over the center Z(R)Z(R) is central, i.e. the left and right Z(R)Z(R)-bimodule structures coincide. Cf. pdf

category: algebra

Created on February 27, 2021 at 17:33:40. See the history of this page for a list of all contributions to it.