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Right-topological semigroup operations on inclusion hyperspaces

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 Added by Taras Banakh
 Publication date 2008
  fields
and research's language is English




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We show that for any discrete semigroup $X$ the semigroup operation can be extended to a right-topological semigroup operation on the space $G(X)$ of inclusion hyperspaces on $X$. We detect some important subsemigroups of $G(X)$, study the minimal ideal, the (topological) center, left cancelable elements of $G(X)$, and describe the structure of the semigroups $G(IZ_n)$ for small numbers $n$.



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