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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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Format: | Article |
Language: | Ukrainian |
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Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2018.16.36-38 |
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