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The ring of Hamiltonian quaternions forms a 4-dimensional algebra over its center , which is isomorphic to the real numbers .
 person: Hamiltonian
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Hamiltonian 
Answer:
 person: Hamiltonian