30 citations · 58 across the 14 of their papers we have counts for
3 papers · 1 filter
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…
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…
Prime ideals of skew PBW extensions
Oswaldo Lezama, Juan Pablo Acosta, Milton Armando Reyes Villamil
In this paper we describe the prime ideals of some important classes of skew PBW extensions, using the classical technique of extending and contracting ideals. Skew PBW extensions…