On the unit sum number of some rings
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Publication:5708758
DOI10.1093/qmath/hah023zbMath1100.11036OpenAlexW2080214482MaRDI QIDQ5708758
Publication date: 21 November 2005
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/hah023
Quadratic extensions (11R11) Units and factorization (11R27) Cubic and quartic extensions (11R16) Units, groups of units (associative rings and algebras) (16U60)
Related Items (23)
Unit Graphs Associated with Rings ⋮ Unit sum numbers of right self-injective rings ⋮ On sums of units ⋮ On 2-nil-good rings ⋮ Addendum to ``Ring elements as sums of units. ⋮ On linear combinations of units with bounded coefficients and double-base digit expansions ⋮ Representing algebraic integers as linear combinations of units ⋮ Additive Representations of Elements in Rings: A Survey ⋮ Sums of units in function fields ⋮ A survey of rings generated by units. ⋮ The diameter of unit graphs of rings ⋮ On biquadratic fields that admit unit power integral basis ⋮ On unit power integral bases of \(\mathbb Z[\root 4 \of {m}\)] ⋮ NOTE ON SUMS OF UNITS IN REAL CUBIC FIELDS ⋮ THE ADDITIVE S-UNIT STRUCTURE OF QUADRATIC FIELDS ⋮ SUMS OF UNITS IN RINGS ⋮ \(nX\)-complementary generations of the Fischer group \(Fi_{23}\). ⋮ THE UNIT SUM NUMBER OF SOME PROJECTIVE MODULES ⋮ A finer classification of the unit sum number of the ring of integers of quadratic fields and complex cubic fields ⋮ Fine rings: A new class of simple rings ⋮ Block diagonalization and $2$-unit sums of matrices over Prüfer domains ⋮ The additive unit structure of pure quartic complex fields ⋮ On quantitative aspects of the unit sum number problem
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