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Коли R(X) і R⟨X⟩ є ω-евклідовими областями

In this paper, it is proved that a domain R is ω-Euclidean if and only if R⟨X⟩ is ω-Euclidean domain. Also, we show that R is a Bezout domain if and only if R is a ring of elementary reduction matrices.  Cite as: A. V. Sagan, "When R(X) and R⟨X⟩ are ω-Euclidean domains," Prykl. Probl. Mekh...

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Bibliographic Details
Main Author: Sagan, A. V.; Саган А. В.; Львівський національний університет ім. Івана Франка, Львів
Format: Article
Language:Ukrainian
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2018
Subjects:
Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2018.16.36-38
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