Thông tin tài liệu
Nhan đề : | Homogenized skew PBW extensions |
Tác giả : | Héctor, Suárez Armando, Reyes Yésica, Suárez |
Năm xuất bản : | 2022 |
Nhà xuất bản : | Springer |
Tóm tắt : | 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. |
Mô tả: | CC BY |
URI: | https://link.springer.com/article/10.1007/s40065-022-00410-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7457 |
Bộ sưu tập | OER - Khoa học Tự nhiên |
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