Bimodule
- Bimodule
-
Un A1-A2-bimodule est un ensemble M muni à la fois d'une structure de module à gauche sur un anneau A1 et d'une structure de module à droite sur un anneau A2 vérifiant
.
Exemples
- Tout A-module à droite est aussi un
-A-bimodule
- A est un A-A bimodule
- Si A est commutatif, tout A-module peut être vu comme un A-A bimodule. Plus généralement, pour A quelconque, un A-module à gauche peut être vu comme un A − Aop bimodule.
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