7 papers · 1 filter
Invariants of toric double determinantal rings
Jennifer Biermann, Emanuela De Negri, Oleksandra Gasanova +2
We study a class of double determinantal ideals denoted , which are generated by minors of size 2, and show that they are equal to the Hibi rings of certain finite distri…
On the Rees algebra and the conductor of an ideal
Oleksandra Gasanova, Jürgen Herzog, Filip Jonsson Kling +1
For an ideal in a Noetherian ring , we introduce and study its conductor as a tool to explore the Rees algebra of . The conductor of is an ideal obtai…
On the Rees algebras of -path ideals of cycles
Oleksandra Gasanova, Jürgen Herzog, Jiawen Shan
In this paper we explore certain properties of the Rees algebra of , the -path ideal of an -cycle. Our main focus is on the cases when such ideals are of fiber type…
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…
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…
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 be a monomial ideal and let denote the (unique…