Homogenized skew PBW extensions
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40065-022-00410-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7457 |
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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 |
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8.891695 |