Unified Solving of Octonionic Polynomial Systems via Hierarchical Differential Algebraic Closure: A Non-Associative Extension with Computational Applications
This paper presents a comprehensive extension of the hierarchical differential algebraic closure (DAC) framework to solve systems of polynomial equations over the octonions O, a non-commutative, non-associative normed division algebra of dimension 8.
Authors
- Dongqi Liu (ORCID: https://orcid.org/0009-0006-4018-9292)
- shifa liu (ORCID: https://orcid.org/0009-0003-6570-2812)
Publication Details
- Published
- 2025-10-13
- DOI
- https://doi.org/10.22541/au.176038627.71495511/v1
- Primary Topic
- Polynomial and algebraic computation
- Type
- article
- Field-Weighted Citation Impact
- 0.00