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Singular elements and the Witt equivalence of rings of algebraic integers

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Abstract

We describe groups of singular elements of quadratic extensions of global fields with odd class number. Using this description we then examine the Witt equivalence of rings of algebraic integers of nonreal bicyclic number fields and their analog in bicyclic function fields.

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Authors and Affiliations

  1. Institute of Mathematics, Silesian University, Bankowa 14, 40-007, Katowice, Poland

    Beata Rothkegel & Alfred Czogała

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  1. Beata Rothkegel
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  2. Alfred Czogała
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Correspondence to Alfred Czogała.

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Rothkegel, B., Czogała, A. Singular elements and the Witt equivalence of rings of algebraic integers. Ramanujan J 17, 185–217 (2008). https://doi.org/10.1007/s11139-008-9119-z

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  • DOI: https://doi.org/10.1007/s11139-008-9119-z

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