Helbert Venegas

most citedThe center of the total ring of fractions

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

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…

math.RA2018

Center of skew PBW extensions

José Oswaldo Lezama Serrano, Helbert Javier Venegas Ramírez

In this paper we compute the center of many noncommutative algebras that can be interpreted as skew $P B W$ extensions. We show that, under some natural assumptions on the parameters…