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CAUCHY–DAVENPORT TYPE THEOREMS FOR SEMIGROUPS
Published online by Cambridge University Press: 22 May 2015
Abstract
Let $\mathbb{A}=(A,+)$ be a (possibly non-commutative) semigroup. For $Z\subseteq A$, we define $Z^{\times }:=Z\cap \mathbb{A}^{\times }$, where $\mathbb{A}^{\times }$ is the set of the units of $\mathbb{A}$ and
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