Bimodule
Bimodule In abstract algebra a bimodule is an abelian group that is both ... are two rings, then an R-S-bimodule is an abelian group M such that ... rm)s = r(ms). An R-R-bimodule is also known as an R-bimodule. Examples R is a R-bimodule, ...
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Tensor product of modules
... However, if M is an (S,R)-bimodule, then M⊗N is a left S-module ... similarly, if N is an (R,T)-bimodule, then M⊗N is a right T-module. If M and N each have bimodule structures as above, then M⊗N is an (S,T)-bimodule. In particular, if R is a commutative ... then we will say M is a bimodule, and will denote it by R ...
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Tensorial product   (translated from Spanish)
... we will say that M it is bimodule, and we will notice it R M ... Nótese that each left module is a bimodule with Z acting by mn = m + m ... M R it is S 1 - R- bimodule, then there is an only structure of ... M S 2 it is RS 2 - bimodule, then similar there is an only structure ... bimodules, then P it is also a bimodule, again of a unique way. (P, ...
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Morita equivalence
... if there is a balanced (S,R)-bimodule P such that S P and P ...
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List of mathematics articles (B)
... Bilunabirotunda -- Bimagic cube -- Bimagic square -- Bimodal distribution -- Bimodule -- Bimonster -- Bin packing problem -- Binary and -- Binary ...
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Talk:Module (mathematics)
... misleading. I think one can consider a bimodule where the left and right action of ...
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Category:Module theory
... mathematics) Morita equivalence A Artinian module B Bimodule C Comodule D Direct sum of modules ...
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Tensor algebra
... perform the construction for any R-R bimodule M. (It does not work for ordinary ...
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List of abstract algebra topics
... Indecomposable module Pure submodule Algebraically compact module Bimodule Annihilator Regular sequence (algebra), depth (algebra) Localization ...
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Von Neumann algebra
... with values in a normal dual Banach bimodule are all inner. N has Schwartz's ...
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