Definition of Bimodules. Meaning of Bimodules. Synonyms of Bimodules

- morphisms are the bimodules. This is in fact a 2-category, in a canonical way – 2 morphisms between R-S-bimodules M and N are exactly bimodule homomorphisms...
- Connes on bimodules. The theory of subfactors, initiated by Vaughan Jones, reconciles these two seemingly different points of view. Bimodules are also...
- modules is defined in a similar way. One can also define the category of bimodules over a ring R but that category is equivalent to the category of left...
- condition can be defined on bimodule structures as well: an Artinian bimodule is a bimodule whose poset of sub-bimodules satisfies the descending chain...
- condition can also be defined on bimodule structures as well: a Noetherian bimodule is a bimodule whose poset of sub-bimodules satisfies the ascending chain...
- mathematics, profunctors are a generalization of relations and also of bimodules. A profunctor (also named distributor by the French school and module...
- of M. The maximal ideals of R are then exactly the maximal sub-bimodules of the bimodule RRR. Prime ideal Dummit, David S.; Foote, Richard M. (2004). Abstract...
- left supermodules and superbimodules are defined as left modules or bimodules over A whose scalar multiplications respect the gradings in the obvious...
- previous two examples. If R is a commutative ring, then A and B are (R,R)-bimodules where r a := a r {\displaystyle ra:=ar} and ⁠ b r := r b {\displaystyle...
- category of A {\displaystyle A} -bimodules. In the axiomatics, H {\displaystyle H} appears to be an A {\displaystyle A} -bimodule in a specific way. One of the...