2 citations · 4 across the 4 of their papers we have counts for
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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…
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…
Zariski cancellation problem for non-domain noncommutative algebras
O. Lezama, Y. -H. Wang, J. J. Zhang
We study Zariski cancellation problem for noncommutative algebras that are not necessarily domains.
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Oswaldo Lezama, Helbert Venegas
In this short paper we study for the skew PBW (Poincaré-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Goren…