2 papers
math.AC2025
Khovanskii bases of subalgebras arising from finite distributive lattices
Akihiro Higashitani, Koji Matsushita, Koichiro Tani
The notion of Khovanskii bases was introduced by Kaveh and Manon. It is a generalization of the notion of SAGBI bases for a subalgebra of polynomials. The notion of SAGBI bases was…
math.AC2024
Non-finitely generated monoids corresponding to finitely generated homogeneous subalgebras
Akihiro Higashitani, Koichiro Tani
The goal of this paper is to study the possible monoids appearing as the associated monoids of the initial algebra of a finitely generated homogeneous -subalgebra of a polyn…