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Math Help - Inclusion map

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    Lightbulb Bi-module

    Hi

    The definition of a sub-algebra goes as follows:

    "A sub-algebra is an R-algebra B that is a subset of an algebra A such that the inclusion mapping from B to a A is a homomorphism"

    I've got the definition for an inclusion mapping from wiki. and other sources.
    Can someone help me with the explanation of the role played by the inclusion map in this particular definition?

    Thanks in advance,
    MAX
    Last edited by MAX09; November 27th 2009 at 05:51 AM. Reason: Incorrect title
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