On Shift Radix Systems over Imaginary Quadratic Euclidean Domains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F15%3AA1701LK5" target="_blank" >RIV/61988987:17310/15:A1701LK5 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On Shift Radix Systems over Imaginary Quadratic Euclidean Domains
Original language description
In this paper we generalize the shift radix systems to finite dimensional Hermitian vector spaces. Here the integer lattice is replaced by the direct sum of imaginary quadratic Euclidean domains. We prove in two cases that the set of one dimensional Euclidean shift radix systems with finiteness property is contained in a circle of radius $0.99$ around the origin. Thus their structure is much simpler than the structure of analogous sets
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Cybernetica
ISSN
0324-721X
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
2
Country of publishing house
HU - HUNGARY
Number of pages
14
Pages from-to
485-498
UT code for WoS article
000383724900014
EID of the result in the Scopus database
2-s2.0-84955499107