Definition of Bimodule. Meaning of Bimodule. Synonyms of Bimodule

Here you will find one or more explanations in English for the word Bimodule. Also in the bottom left of the page several parts of wikipedia pages related to the word Bimodule and, of course, Bimodule synonyms and on the right images related to the word Bimodule.

Definition of Bimodule

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Meaning of Bimodule from wikipedia

- In abstract algebra, a bimodule is an abelian group that is both a left and a right module, such that the left and right multiplications are compatible...
- condition can be defined on bimodule structures as well: an Artinian bimodule is a bimodule whose poset of sub-bimodules satisfies the descending chain...
- that are not. A bimodule (or correspondence) is a Hilbert space H with module actions of two commuting von Neumann algebras. Bimodules have a much richer...
- ) b . {\displaystyle D(ab)=aD(b)+D(a)b.} More generally, if M is an A-bimodule, a K-linear map D : A → M that satisfies the Leibniz law is also called...
- 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...
- (bs)} ⁠. If A is a (S,R)-bimodule and B is a (R,T)-bimodule, then A ⊗ R B {\displaystyle A\otimes _{R}B} is a (S,T)-bimodule, where the left and right...
- defining a maximal sub-bimodule M of a bimodule B to be a proper sub-bimodule of M which is contained in no other proper sub-bimodule of M. The maximal ideals...
- left supermodules and superbimodules are defined as left modules or bimodules over A whose scalar multiplications respect the gradings in the obvious...
- the opposite of a profunctor Correspondence (von Neumann algebra) or bimodule, a type of Hilbert space Correspondence analysis, a multivariate statistical...
- 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...