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Results tagged with bimodules
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user 290
9
votes
Accepted
Bimodule version of IBN
Then $Z(R^n) \cong Z(R)^n$, so if $R^n \cong R^m$ as $(R, R)$-bimodules then $Z(R)^n \cong Z(R)^m$ as $Z(R)$-modules, and commutative rings satisfy IBN. …
- 118k
15
votes
Dual of a bimodule
These duals come from thinking of an $(A, B)$-bimodule as a 1-morphism in the Morita 2-category whose
objects are rings
1-morphisms are bimodules
2-morphisms are bimodule homomorphisms
and applying …
- 118k