arXiv subjects

Yésica Suárez

Publications and source records attributed to Yésica Suárez.

3 recordsLinked to original sources

arXiv2025

Homological properties of some quantum Heisenberg algebras

In this paper we study the properties Koszul, Artin-Schelter regular and (skew) Calabi-Yau of some special types of quantum and generalized Heisenberg algebras and also analyze relations between these algebras, (graded) iterated Ore extensions and (graded) skew PBW extensions. The first-named author and Razavinia introduced the quantum generalized Heisenberg algebras, which depend on a parameter $q$ and two polynomials $f, g\in K[t]$. We prove that under certain conditions for $f$, $g$ these algebras are Koszul, Artin-Shelter regular, Calabi-Yau and graded Calabi-Yau.

math.RA↗

arXiv2025

On SAGBI bases theory of skew Poincaré-Birkhoff-Witt extensions

In this paper we present a first approach toward a \texttt{SAGBI} bases theory of skew Poincaré-Birkhoff-Witt extensions, and investigate the problem of polynomial composition for \texttt{SAGBI} bases of subalgebras of these extensions.

math.QA↗

arXiv2021

Homogenized skew PBW extensions

In this paper, we provide a new and more general filtration to the family of noncommutative rings known as skew PBW extensions. We introduce the notion of $σ$-filtered skew PBW extension and study some homological properties of these algebras. We show that the homogenization of a $σ$-filtered skew PBW extension $A$ over a ring $R$ is a graded skew PBW extension over the homogenization of $R$. Using this fact, we prove that if the homogenization of $R$ is Auslander-regular, then the homogenization of $A$ is a domain Noetherian, Artin-Schelter regular, and $A$ is Noetherian, Zariski and (ungraded) skew Calabi-Yau.

math.QA↗