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

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4 papers · 1 filter

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…

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

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