# Category:Submultiplicative Functions

This category contains results about Submultiplicative Functions in the context of Ring Theory.

Let $\struct {R, +, \circ}$ be a ring.

Let $f: R \to \R$ be a (real-valued) function on $R$.

$f$ is a submultiplicative function if and only if:

$\forall x, y \in R: \map f {x \circ y} \le \map f x \times \map f y$

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