2024/10/24 by Anargyros Katsabekis, Katsabekis, Anargyros, Apostolos Thoma +1 · 1 citation
Materials Science · #Metallurgy and Material Science
paper · pdf · doi:10.48550/arxiv.2410.18467
The toric ideal IA is splittable if it has a toric splitting; namely, if there exist toric ideals IA1, IA2 such that IA=IA1+IA2 and IAi\not =IA for all 1 ≤ i ≤ 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.