On lattice of congruences on graph inverse semigroups
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🧮 math.GR
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graphcongruencesinverselatticesemigroupsemimodulardescribeddescriptions
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Congruences on a graph inverse semigroup were recently described in terms of the underline graph. Based on such descriptions, we show that the lattice of congruences on a graph inverse semigroup is upper semimodular but not lower semimodular.
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