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We present a useful technique of proving strong $\mathfrak{c}$-algebrability.As an outcome we obtain the strong $\mathfrak{c}$-algebrability of thefollowing sets of functions: strong Sierpi\'nski-Zygmund, nowhere H\"older,Bruckner-Garg, nowhere monotone differentiable, a certain Baire class, smoothand nowhere analytic functions.

Strong c-algebrability of strong Sierpi\'nski-Zygmund, smooth nowhere analytic and other sets of functions