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Embedding of graph inverse semigroups into CLP-compact topological semigroups

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arxiv 1810.09169 v2 pith:363OB76Y submitted 2018-10-22 math.GN

Serhii Bardyla This is my paper · ORCID
classification math.GN
keywords semigroupsgraphinversetopologicalclp-compactadmitcharacterisecompact
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In this paper we investigate graph inverse semigroups which are subsemigroups of compact-like topological semigroups. More precisely, we characterise graph inverse semigroups which admit a compact semigroup topology and describe graph inverse semigroups which can be embeded densely into CLP-compact topological semigroups.

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  1. On the lattice of weak topologies on the bicyclic monoid with adjoined zero

    math.GN 2019-08 conditional novelty 7.0 of 10

    The lattice of weak shift-continuous topologies on C^0 is isomorphic to the product of two copies of the poset of shift-invariant filters with a top element attached, and it contains antichains of size 2^c and chains ...

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