Perfect colourings of cyclotomic integers

Perfect colourings of the rings of cyclotomic integers of class number one are studied. It is shown that all colourings induced by ideals (q) are chirally perfect, and vice versa. A necessary and sufficient condition for a colouring to be perfect is obtained, depending on the factorisation of q. Thi...

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Bibliographic Details
Main Authors: Bugarin, Enrico Paolo, De Las Peñas, Ma. Louise Antonette N, Frettlöh, Dirk
Format: text
Published: Archīum Ateneo 2013
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/27
https://arxiv.org/abs/0905.4048
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Institution: Ateneo De Manila University
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