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20192026
most citedOn the initial behaviour of the number of generators of powers of monomial ideals

2 citations · 3 across the 9 of their papers we have counts for

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math.AC2020

Certain monomial ideals whose numbers of generators of powers descend

Reza Abdolmaleki, Shinya Kumashiro

This paper studies the numbers of minimal generators of powers of monomial ideals in polynomial rings. For a monomial ideal in two variables, Eliahou, Herzog, and Saem gave a s…

math.AC2020★ 2 cited

On the initial behaviour of the number of generators of powers of monomial ideals

Reza Abdolmaleki, Jürgen Herzog, Rashid Zaare-Nahandi

Given a number , we construct a monomial ideal with the property that the function which describes the number of generators of has at least local maxima.