Right-topological semigroup operations on inclusion hyperspaces

Details Right-topological semigroup operations on inclusion hyperspaces Right-topological semigroup operations on inclusion hyperspaces

2008-02-13

arxiv.org/abs/0802.1859v1

Mathematics

General Topology

Scientific paper

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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