On Boolean Subrings of Rings

Ivan Chajda () and Günther Eigenthaler ()
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Ivan Chajda: Palacký University Olomouc, Department of Algebra and Geometry
Günther Eigenthaler: Technische Universität Wien, Institut für Diskrete Mathematik und Geometrie

A chapter in Commutative Algebra, 2014, pp 113-117 from Springer

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

Keywords: Boolean ring; Commutative unitary ring; Characteristic 2; Subring; 06E20; 16R50; 16B70 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0925-4_6

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DOI: 10.1007/978-1-4939-0925-4_6

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