On Boolean Subrings of Rings

Chapter

Abstract

We determine Boolean subrings of commutative unitary rings satisfying the identity \(x^{p+k} = x^{p}\) for some integer \(p \geq 1\) where k = 2s or \(k = 2^{s} - 1\).

Keywords

Boolean ring Commutative unitary ring Characteristic 2 Subring 

MS Classification:

06E20 16R50 16B70 

References

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    P. Jedlička, The rings which are Boolean II. Acta Univ. Carolinae (to appear)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Algebra and GeometryPalacký University OlomoucOlomoucCzech Republic
  2. 2.Institut für Diskrete Mathematik und GeometrieTechnische Universität WienWienAustria

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