Chapter

Commutative Algebra

pp 113-117

Date:

On Boolean Subrings of Rings

  • Ivan ChajdaAffiliated withDepartment of Algebra and Geometry, Palacký University Olomouc
  • , Günther EigenthalerAffiliated withInstitut für Diskrete Mathematik und Geometrie, Technische Universität Wien Email author 

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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 = 2 s or \(k = 2^{s} - 1\).

Keywords

Boolean ring Commutative unitary ring Characteristic 2 Subring

MS Classification:

06E20 16R50 16B70