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On additivity of centralisers

Published online by Cambridge University Press:  17 April 2009

Daniel Eremita  and
Dijana Ilišević
Daniel Eremita
Affiliation:
Department of Mathematics, PeF, University of Maribor, 2000 Maribor, Slovenia e-mail: daniel.eremita@uni-mb.si
Dijana Ilišević
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička 30, P.O.Box 335, 10002 Zagreb, Croatia e-mail: ilisevic@math.hr
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Let R be a ring and let M be a bimodule over R. We consider the question of when a map φ: R → M such that φ(ab) = φ(a)b for all a, b ∈ R is additive.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 177 - 184
Copyright
Copyright © Australian Mathematical Society 2006

References

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