Helbert Venegas

activity

20182026

most citedCenter of skew PBW extensions

3 citations · 4 across the 6 of their papers we have counts for

collaborators

Showing 2019 · math.RAShow all

3 papers · 2 filters

math.RA2019★ 1 cited

The center of the total ring of fractions

Oswaldo Lezama, Helbert Venegas

Let $A$ be a right Ore domain, $Z (A)$ be the center of $A$ and $Q_{r} (A)$ be the right total ring of fractions of $A$ . If $K$ is a field and $A$ is a $K$ -algebra, in this short paper…

math.RA2019

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…

math.RA2019

Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer

Jason P. Bell, Maryam Hamidizadeh, Hongdi Huang +1

Let $k$ be a field and let $A$ be a finitely generated $k$ -algebra. The algebra $A$ is said to be cancellative if whenever $B$ is another $k$ -algebra with the property that $A[x]\c…