13 citations · 15 across the 3 of their papers we have counts for
3 papers
math.RA2015★ 1 cited
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…
math.RA2014★ 1 cited
Universal property of skew extensions
Juan Pablo Acosta López, Oswaldo Lezama
In this paper we prove the universal property of skew extensions generalizing this way the well known universal property of skew polynomial rings. For this, we will show firs…
math.RA2014★ 13 cited
d-Hermite rings and skew PBW extensions
Oswaldo Lezama, Claudia Gallego
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincaré-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimens…