Neha Patil (Editor)

BF algebra

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A BF-algebra is a non-empty subset X with a constant 0 and a binary operation ∗ satisfying the following:

  1. x ∗ x = 0
  2. x ∗ 0 = x
  3. 0 ∗ ( x ∗ y ) = y ∗ x

Example

Let Z be the set of integers and ' − ' be the binary operation 'subtraction'. Then the algebraic structure ( Z , − ) obeys the following properties:

  1. x − x = 0
  2. x − 0 = x
  3. 0 − ( x − y ) = y − x

References

BF-algebra Wikipedia
(Text) CC BY-SA


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