A note on the differential smoothness of skew PBW extensions

We investigate the differential smoothness of a certain family of skew Poincaré-Birkhoff-Witt extensions.

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Datum:2026
Hauptverfasser: Rubiano, Andrés, Reyes, Armando
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2026
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2380
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Rubiano, Andrés
Reyes, Armando
author_facet Rubiano, Andrés
Reyes, Armando
author_sort Rubiano, Andrés
baseUrl_str
collection OJS
datestamp_date 2026-01-11T10:11:21Z
description We investigate the differential smoothness of a certain family of skew Poincaré-Birkhoff-Witt extensions.
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institution Algebra and Discrete Mathematics
language English
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publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-23802026-01-11T10:11:21Z A note on the differential smoothness of skew PBW extensions Rubiano, Andrés Reyes, Armando differentially smooth algebra, integrable calculus, Ore extension, skew PBW extension 16E45, 16S30, 16S32, 16S36, 16S38, 16S99, 16W20, 16T05, 58B34 We investigate the differential smoothness of a certain family of skew Poincaré-Birkhoff-Witt extensions. Lugansk National Taras Shevchenko University Faculty of Science, Universidad Nacional de Colombia - Sede Bogot\'a, Colombia [grant number 53880] 2026-01-11 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2380 10.12958/adm2380 Algebra and Discrete Mathematics; Vol 40, No 2 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2380/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2380/1345 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2380/1347 Copyright (c) 2026 Algebra and Discrete Mathematics
spellingShingle differentially smooth algebra
integrable calculus
Ore extension
skew PBW extension
16E45
16S30
16S32
16S36
16S38
16S99
16W20
16T05
58B34
Rubiano, Andrés
Reyes, Armando
A note on the differential smoothness of skew PBW extensions
title A note on the differential smoothness of skew PBW extensions
title_full A note on the differential smoothness of skew PBW extensions
title_fullStr A note on the differential smoothness of skew PBW extensions
title_full_unstemmed A note on the differential smoothness of skew PBW extensions
title_short A note on the differential smoothness of skew PBW extensions
title_sort note on the differential smoothness of skew pbw extensions
topic differentially smooth algebra
integrable calculus
Ore extension
skew PBW extension
16E45
16S30
16S32
16S36
16S38
16S99
16W20
16T05
58B34
topic_facet differentially smooth algebra
integrable calculus
Ore extension
skew PBW extension
16E45
16S30
16S32
16S36
16S38
16S99
16W20
16T05
58B34
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2380
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AT reyesarmando anoteonthedifferentialsmoothnessofskewpbwextensions
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AT reyesarmando noteonthedifferentialsmoothnessofskewpbwextensions