  Parabosonic algebra in finite or infinite degrees of freedom is considered as
a $\mathbb{Z}_{2}$-graded associative algebra, and is shown to be a
$\mathbb{Z}_{2}$-graded (or: super) Hopf algebra. The super-Hopf algebraic
structure of the parabosonic algebra is established directly without appealing
to its relation to the $osp(1/2n)$ Lie superalgebraic structure. The notion of
super-Hopf algebra is equivalently described as a Hopf algebra in the braided
monoidal category ${}_{\mathbb{CZ}_{2}}\mathcal{M}$. The bosonisation technique
for switching a Hopf algebra in the braided monoidal category
${}_{H}\mathcal{M}$ (where $H$ is a quasitriangular Hopf algebra) into an
ordinary Hopf algebra is reviewed. In this paper we prove that for the
parabosonic algebra $P_{B}$, beyond the application of the bosonisation
technique to the original super-Hopf algebra, a bosonisation-like construction
is also achieved using two operators, related to the parabosonic total number
operator. Both techniques switch the same super-Hopf algebra $P_{B}$ to an
ordinary Hopf algebra, producing thus two different variants of $P_{B}$, with
ordinary Hopf structure.
