  A net $(x_\alpha)$ in an $f$-algebra $E$ is said to be multiplicative order
convergent to $x\in E$ if $\x_\alpha-x\u\oc 0$ for all $u\in E_+$. In this
paper, we introduce the notions $mo$-convergence, $mo$-Cauchy, $mo$-complete,
$mo$-continuous and $mo$-KB-space. Moreover, we study the basic properties of
these notions.
