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dc.contributor.authorHéctor, Suárez-
dc.contributor.authorArmando, Reyes-
dc.contributor.authorYésica, Suárez-
dc.date.accessioned2023-04-03T09:45:55Z-
dc.date.available2023-04-03T09:45:55Z-
dc.date.issued2022-
dc.identifier.urihttps://link.springer.com/article/10.1007/s40065-022-00410-z-
dc.identifier.urihttps://dlib.phenikaa-uni.edu.vn/handle/PNK/7457-
dc.descriptionCC BYvi
dc.description.abstractIn 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.vi
dc.language.isoenvi
dc.publisherSpringervi
dc.subjectPBW extensionsvi
dc.titleHomogenized skew PBW extensionsvi
dc.typeBookvi
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