Oleksandra Gasanova

collaborators

2 papers

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.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…