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Math Help - Purpose

  1. #1
    Senior Member sfspitfire23's Avatar
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    Purpose

    In ring theory, what significance does a+b=a\cup b - a\cap bhave?
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  2. #2
    Senior Member
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    You just have to read it considering a and b as sets.

    a\Delta b:=a\cup b-a\cap b is called symetric difference, and; if E is a set, \mathcal{P}(E) the set of subsets of E, then

    (\mathcal{P}(E),\Delta,\cap) is a ring, such that \forall a\in\mathcal{P}(E), a^2:=a\cap a=a, i.e. it is a boolean algebra.
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