30 citations · 58 across the 14 of their papers we have counts for
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Projective modules and Gröbner bases for skew PBW extensions
Oswaldo Lezama, Claudia Gallego
Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincaré-Birkhoff-Witt) extensions.…
Computing finite presentations of Tor and Ext over skew PBW extensions and some applications
Oswaldo Lezama, Melisa Paiba
In this paper we compute the and modules over skew extensions. If is a bijective skew extension of a ring , we give presentations of …
Extended modules and Ore extensions
Vyacheslav Artamonov, William Fajardo, Oswaldo Lezama
In this paper we investigate extended modules for a special class of Ore extensions. We will assume that is a ring and will denote the Ore extension …
Gröbner bases of modules over sigma-PBW extensions
Haydee Jiménez, Oswaldo Lezama
For sigma-PWB extensions, we extend to modules the theory of Gröbner bases of left ideals presented in [5]. As an application, if A is a bijective quasi-commutative sigma-PWB exten…