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Also, if $a,b\\in D(M)$, then $ab\\in D(M)$; a set $A\\subseteq\\mathbb Z$ so that $ab\\in A$ for each $a,b\\in A$ is called multiplicative. On the one hand, not every infinite set of integers (containing $0$) is a mapping degree set [NWW] and, on the other hand, every finite set of integers (containing $0$) is the mapping degree set of some $3$-manifolds [CMV]. 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