SOME HOMOLOGICAL PROPERTIES OF SKEW P BW EXTENSIONS ARISING IN NON-COMMUTATIVE ALGEBRAIC GEOMETRY
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 1
Abstract
In this short paper we study for the skew P BW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity. Skew P BW extensions include a considerable number of non-commutative rings of polynomial type such that classical P BW 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.
Authors and Affiliations
Oswaldo Lezama
Keywords
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