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On the finiteness of certain factorization invariants

On the finiteness of certain factorization invariants

Let H be a monoid and π H be the unique extension of the identity map on H to a monoid homomorphism F (H)→H, where we denote by F (X) the free monoid on a set X. Given A⊆H, an A-word z (i.e., an element of F (A)) is minimal …