- Tytuł:
- Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
- Autorzy:
- Lezama, Oswaldo
- Powiązania:
- https://bibliotekanauki.pl/articles/38117319.pdf
- Data publikacji:
- 2017-06-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Auslander regularity condition
Cohen-Macaulay rings
strongly noetherian algebras
skew PBW extensions
filtered-graded rings
point modules - Opis:
- In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity. Skew PBW extensions include a considerable number of non-commutative rings of polynomial type such that classical PBW extensions, quantum polynomial rings, multiplicative analogue of the Weyl algebra, some Sklyanin algebras, operator algebras, diffusion algebras, quadratic algebras in 3 variables, among many others. Parametrization of the point modules of some examples is also presented.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 45-57
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł