DUYỆT THEO

HỒ SƠ TÁC GIẢ

Tìm kiếm theo: Tác giả Héctor, Suárez

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    • Homogenized skew PBW extensions
    Tác giả : Héctor, Suárez; Armando, Reyes; Yésica, Suárez;  Người hướng dẫn: -;  Đồng tác giả: - (2022)

    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.