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Department of Mathematics
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Rings and Modules Seminar
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Department of Mathematics
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Rings and Modules Seminar
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G. Krause, University of Manitoba
Guenter(dot)Krause(at)UManitoba(dot)CA
Department of Mathematics
University of Manitoba
Tuesday, April 07, 2015
| Abstract:
An ideal \(I\) of a ring \(R\) is defined to be a middle annihilator if there exist ideals \(A,B\) of \(R\) such that \(AB\neq 0\) and \(I = \{x\in R\mid AxB = 0\} \). Some basic properties of prime middle annihilators will be presented, and the problem will be discussed whether or not their number is finite in a noetherian ring. |