Definition:Power (B-Algebra)

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This page is about Power in the context of B-Algebra. For other uses, see Power.

Definition

Let $\struct {X, \circ}$ be a $B$-algebra.

For any $x \in X$ and $n \in \N$, define the $n$th power of $x$, denoted $x^n$, inductively:

$x^n = \begin{cases} 0 & \text {if $n = 0$} \\ x^{n - 1} \circ \paren {0 \circ x} & \text {if $n \ge 1$} \end{cases}$


Also see


Sources