Toric splittings

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-02-01 DOI:10.1016/j.jpaa.2025.107870

Anargyros Katsabekis, Apostolos Thoma

引用次数: 0

Abstract

The toric ideal

I_{A}

is splittable if it has a toric splitting; namely, if there exist toric ideals

I_{A_{1}}, I_{A_{2}}

such that

I_{A} = I_{A_{1}} + I_{A_{2}}

and

I_{A_{i}} \neq I_{A}

for all

1 \leq i \leq 2

. We provide a necessary and sufficient condition for a toric ideal to be splittable in terms of A, and we apply it to prove or disprove that certain classes of toric ideals are splittable.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.