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单词 Boolean ring
释义

Boolean ring

A ring in which x2 = x for all elements. A Boolean algebra (R,∨,∧,¬) can be associated with a Boolean ring (R, +, ×) with a 1 by defining:

The power set ℘(X) is such a Boolean ring with symmetric difference, intersection, complement, 1 = X, and the Boolean algebra associated with it has operations union, intersection, and complement.

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更新时间:2025/4/29 21:43:05