Order-$p$ parasupersymmetric and orthosupersymmetric quantum mechanics areshown to be fully reducible when they are realized in terms of the generatorsof a generalized deformed oscillator algebra and a ${\rm Z}_{p+1}$-gradingstructure is imposed on the Fock space. The irreducible components provide$p+1$ sets of bosonized operators corresponding to both unbroken and brokencases. Such a bosonization is minimal.
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机译：当阶-$ p $超超对称和正交超对称量子力学根据广义变形的振荡器代数的生成器实现时，被证明是完全可约的，并且在其上施加$ {\ rm Z} _ {p + 1} $分度结构公鸡空间。不可约成分提供了$ p + 1 $套玻化运算符，分别对应于未破例和破例。这种玻化作用很小。
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