4 papers
The Dixmier problem for skew PBW extensions and rings
William Fajardo, Oswaldo Lezama
In this paper we discuss for skew extensions the famous Dixmier problem formulated by Jacques Dixmier in 1968. The skew extensions are noncommutative rings of polynomia…
Right Buchberger algorithm over bijective skew PBW extensions
W. Fajardo
In this paper we present a right version of the algorithms developed for to compute Gröbner bases over bijective skew PBW extensions in the left case given in [3]. In particular, w…
Elementary matrix-computational proof of Quillen-Suslin theorem for Ore extensions
Oswaldo Lezama, William Fajardo
In this short note we present an elementary matrix-constructive proof of Quillen-Suslin theorem for Ore extensions: If is a division ring and is an Ore extension,…
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 …