22 citations · 23 across the 4 of their papers we have counts for
4 papers
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…
The saturation number of $\cb$-bounded stable monomial ideals and their powers
Reza Abdolmaleki, Jürgen Herzog, Guangjun Zhu
Let be the polynomial ring in variables over a field . In this paper, we compute the socle of $\cb$-bounded strongly stable ideals and determine that t…
Monomial ideals with tiny squares
Shalom Eliahou, Jürgen Herzog, Maryam Mohammadi Saem
Let be a monomial ideal. How small can be in terms of ? It has been expected that the inequality should hold whenever …