30 citations · 58 across the 14 of their papers we have counts for
20 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…
Noncommutative coding theory and algebraic sets for skew PBW extensions
Oswaldo Lezama, Claudia Gallego
The classical commutative coding theory has been recently extended to noncommutative rings of polynomial type. There are many interesting works in coding theory over single Ore ext…
Algebraic sets, ideals of points and the Hilbert's Nullstellensatz theorem for skew PBW extensions
Oswaldo Lezama
In this paper we define the algebraic sets and the ideal of points for bijective skew PBW extensions with coefficients in left Noetherian domains. Some properties of affine algebra…
The center of the total ring of fractions
Oswaldo Lezama, Helbert Venegas
Let be a right Ore domain, be the center of and be the right total ring of fractions of . If is a field and is a -algebra, in this short paper…
Gelfand-Kirillov dimension for rings
Oswaldo Lezama, Helbert Venegas
The classical Gelfand-Kirillov dimension for algebras over fields has been extended recently by J. Bell and J.J Zhang to algebras over commutative domains. However, the behavior of…
Some open problems in the context of skew PBW extensions and semi-graded rings
Oswaldo Lezama
In this paper we discuss some open problems of non-commutative algebra and non-commutative algebraic geometry from the approach of skew extensions and semi-graded rings. More…