Oleksandra Gasanova

activity

20192025

most citedOn decomposing monomial algebras with the Lefschetz properties

7 citations · 9 across the 11 of their papers we have counts for

collaborators

12 papers

math.AC2025

Invariants of toric double determinantal rings

Jennifer Biermann, Emanuela De Negri, Oleksandra Gasanova +2

We study a class of double determinantal ideals denoted $I_{mn}^{r}$ , which are generated by minors of size 2, and show that they are equal to the Hibi rings of certain finite distri…

math.RT2025

$2$ -representation infinite algebras from non-abelian subgroups of $SL_{3}$ . Part I: Extensions of abelian groups

Darius Dramburg, Oleksandra Gasanova

Let $G \leq SL_{3} (C)$ be a non-trivial finite group, acting on $R = C [x_{1}, x_{2}, x_{3}]$ . The resulting skew-group algebra $R * G$ is $3$ -Calabi-Yau…

math.RT2024

A classification of $n$ -representation infinite algebras of type Ã

Darius Dramburg, Oleksandra Gasanova

We classify $n$ -representation infinite algebras $Λ$ of type Ã. This type is defined by requiring that $Λ$ has higher preprojective algebra $Π_{n+1}(Λ) \simeq k[x_1, \ldots, x_{n+1…

math.AC2024

On the Rees algebra and the conductor of an ideal

Oleksandra Gasanova, Jürgen Herzog, Filip Jonsson Kling +1

For an ideal $I$ in a Noetherian ring $R$ , we introduce and study its conductor as a tool to explore the Rees algebra of $I$ . The conductor of $I$ is an ideal $C (I) \subset R$ obtai…

math.RT2024

The 3-Preprojective Algebras Of Type $A ~$

Darius Dramburg, Oleksandra Gasanova

Let $G \leq SL_{n + 1} (C)$ act on $R = C [X_{1}, \dots, X_{n + 1}]$ by change of variables. Then, the skew-group algebra $R * G$ is bimodule $(n + 1)$ -C…

math.AC2024

On the Rees algebras of $t$ -path ideals of cycles

Oleksandra Gasanova, Jürgen Herzog, Jiawen Shan

In this paper we explore certain properties of the Rees algebra of $I_{t} (C_{n})$ , the $t$ -path ideal of an $n$ -cycle. Our main focus is on the cases when such ideals are of fiber type…

math.AC2023★ 2 cited

Chain algebras of finite distributive lattices

Oleksandra Gasanova, Lisa Nicklasson

We introduce a family of toric algebras defined by maximal chains of a finite distributive lattice. Applying results on stable set polytopes we conclude that every such algebra is…

math.AC2021

Rings of Teter type

Oleksandra Gasanova, Jürgen Herzog, Takayuki Hibi +1

Let $R$ be a Cohen--Macaulay local $K$ -algebra or a standard graded $K$ -algebra over a field $K$ with a canonical module $ω_{R}$ . The trace of $ω_{R}$ is the ideal $t r (ω_{R})$ of $R$ whi…

math.AC2021

A machine learning approach to commutative algebra: Distinguishing table vs non-table ideals

Laia Amorós, Oleksandra Gasanova, Laura Jakobsson

We propose a novel approach to distinguish table vs non-table ideals by using different machine learning algorithms. We introduce the reader to table ideals, assuming some knowledg…

math.AC2020★ 7 cited

On decomposing monomial algebras with the Lefschetz properties

Oleksandra Gasanova, Samuel Lundqvist, Lisa Nicklasson

We introduce a general technique for decomposing monomial algebras which we use to study the Lefschetz properties. We apply our technique to various classes of algebras, including…

math.AC2019

Monomial ideals with arbitrarily high tiny powers in any number of variables

Oleksandra Gasanova

Powers of (monomial) ideals is a subject that still calls attraction in various ways. Let $I \subset K [x_{1}, \dots, x_{n}]$ be a monomial ideal and let $G (I)$ denote the (unique…

math.AC2019

Powers of monomial ideals and the Ratliff-Rush operation

Oleksandra Gasanova

Powers of (monomial) ideals is a subject that still calls attraction in various ways. In this paper we present a nice presentation of high powers of ideals in a certain class in $\…

Invariants of toric double determinantal rings

2-representation infinite algebras from non-abelian subgroups of SL3​. Part I: Extensions of abelian groups

A classification of n-representation infinite algebras of type Ã

On the Rees algebra and the conductor of an ideal

The 3-Preprojective Algebras Of Type A~

On the Rees algebras of t-path ideals of cycles

Chain algebras of finite distributive lattices

Rings of Teter type

A machine learning approach to commutative algebra: Distinguishing table vs non-table ideals

On decomposing monomial algebras with the Lefschetz properties

Monomial ideals with arbitrarily high tiny powers in any number of variables

Powers of monomial ideals and the Ratliff-Rush operation

$2$ -representation infinite algebras from non-abelian subgroups of $SL_{3}$ . Part I: Extensions of abelian groups

A classification of $n$ -representation infinite algebras of type Ã

The 3-Preprojective Algebras Of Type $A ~$

On the Rees algebras of $t$ -path ideals of cycles