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Commutativity in
locally compact rings
James B. Lucke |
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Vol. 32 (1970), No. 1, 187–196
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Abstract |
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A structure theorem is given for all locally compact rings such that x belongs to the closure of {xn : n ≧ 2}, in particular, all such rings are commutative, a result which extends a wellknown theorem of Jacobson. Similarly we show the commutativity of semisimple locally compact rings satisfying topological analogues of properties sludied by Herstein. |
Mathematical Subject Classification
Primary: 16.98
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Milestones
Received: 16 August 1968
Published: 1 January 1970
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Authors |
| James B. Lucke | |
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