2019
DOI: 10.1134/s1995080219050081
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Normal Basis of the Maximal Real Subfield of a Circular Field

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“…Êàê ïîêàçàíî â [13], ÷èñëà α 1 , α 3 , α 5 ñîñòàâëÿþò ôóíäàìåíòàëüíûé áàçèñ ïîëÿ L 7 . Ýòî îçíà÷àåò, ÷òî åñëè γ ∈ L 7 öåëîå ÷èñëî è γ = xα 1 + yα 3 + zα 5 , òî x, y, z öåëûå ðàöèîíàëüíûå ÷èñëà.…”
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“…Êàê ïîêàçàíî â [13], ÷èñëà α 1 , α 3 , α 5 ñîñòàâëÿþò ôóíäàìåíòàëüíûé áàçèñ ïîëÿ L 7 . Ýòî îçíà÷àåò, ÷òî åñëè γ ∈ L 7 öåëîå ÷èñëî è γ = xα 1 + yα 3 + zα 5 , òî x, y, z öåëûå ðàöèîíàëüíûå ÷èñëà.…”
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