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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2020, том 30, выпуск 2, страницы 207–229 (Mi adm776)

Эта публикация цитируется в 7 статьях

RESEARCH ARTICLE

Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions

A. Niño, A. Reyes

Department of Mathematics, Faculty of Science, Universidad Nacional de Colombia, Bogotá, D.C., Colombia

Аннотация: In this paper, we characterize the minimal prime ideals of skew PBW extensions over several classes of rings. We unify different results established in the literature for Ore extensions, and extend all of them to a several families of noncommutative rings of polynomial type which cannot be expressed as these extensions.

Ключевые слова: minimal prime ideal, 2-primal ring, skew PBW extension.

MSC: Primary 16S32, 16S36, 16P40; Secondary 16N40, 16W20, 16W25

Поступила в редакцию: 19.12.2018

Язык публикации: английский

DOI: 10.12958/adm1307



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