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Homogenized skew PBW extensions

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Main Authors: Héctor, Suárez, Armando, Reyes, Yésica, Suárez
Format: Book
Language:English
Published: Springer 2023
Subjects:
PBW extensions
Online Access:https://link.springer.com/article/10.1007/s40065-022-00410-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7457
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spelling oai:localhost:PNK-74572023-04-03T09:45:55Z Homogenized skew PBW extensions Héctor, Suárez Armando, Reyes Yésica, Suárez PBW extensions CC BY In this paper, we provide a new and more general filtration to the family of noncommutative rings known as skew PBW extensions. We introduce the notion of σ-filtered skew PBW extension and study some homological properties of these algebras. We show that the homogenization of a σ-filtered skew PBW extension A over a ring R is a graded skew PBW extension over the homogenization of R. Using this fact, we prove that if the homogenization of R is Auslander-regular, then the homogenization of A is a domain Noetherian, Artin–Schelter regular, and A is Noetherian, Zariski and (ungraded) skew Calabi–Yau. 2023-04-03T09:45:55Z 2023-04-03T09:45:55Z 2022 Book https://link.springer.com/article/10.1007/s40065-022-00410-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7457 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic PBW extensions
spellingShingle PBW extensions
Héctor, Suárez
Armando, Reyes
Yésica, Suárez
Homogenized skew PBW extensions
description CC BY
format Book
author Héctor, Suárez
Armando, Reyes
Yésica, Suárez
author_facet Héctor, Suárez
Armando, Reyes
Yésica, Suárez
author_sort Héctor, Suárez
title Homogenized skew PBW extensions
title_short Homogenized skew PBW extensions
title_full Homogenized skew PBW extensions
title_fullStr Homogenized skew PBW extensions
title_full_unstemmed Homogenized skew PBW extensions
title_sort homogenized skew pbw extensions
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s40065-022-00410-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7457
_version_ 1762274896326426624
score 8.891695

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