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Additive unit representations in rings over global fields -- A survey

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Publication:2898836
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DOI10.5486/PMD.2011.5126zbMath1249.11105arXiv1102.0120MaRDI QIDQ2898836

Fabrizio Barroero, Christopher Frei, Robert F. Tichy

Publication date: 12 July 2012

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0120


zbMATH Keywords

global fieldssums of unitsunit sum numberadditive unit representations


Mathematics Subject Classification ID

Units and factorization (11R27) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Units, groups of units (associative rings and algebras) (16U60)


Related Items (8)

On linear combinations of units with bounded coefficients and double-base digit expansions ⋮ Adding generators in cyclic groups ⋮ Representing algebraic integers as linear combinations of units ⋮ When Is Every Non Central-Unit A Sum of Two Nilpotents? ⋮ When is every linear transformation a sum of two commuting invertible ones? ⋮ On sums of \(S\)-integers of bounded norm ⋮ ON THE MERTENS–CESÀRO THEOREM FOR NUMBER FIELDS ⋮ A class of rings with the 2-sum property




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