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Publikováno v:
Semigroup Forum. 100:717-731
It is known that for an $$IP^*$$ set A in $${\mathbb {N}}$$ and a sequence $$\langle {x_n}\rangle _{n=1}^{\infty }$$ there exists a sum subsystem $$\langle {y_n}\rangle _{n=1}^{\infty }$$ of $$\langle {x_n}\rangle _{n=1}^{\infty }$$ such that $$FS\le