三维数代数体系原创确权与衍生变体完整声明 Original Ownership and Derivative Variant Complete Statement of Three-Dimensional Number Algebra System

本文档依附《三维数运算体系完整规则》作为唯一原生基准,为本人独立原创构造交换非结合三维代数 ,包含完整三轴几何结构、基底公理、四则运算、共轭、范数、逆元、子代数分层等全套自洽定义。本声明随体系规则文档同步公开归档,附带永久时间戳与 DOI,用于明确原生体系边界、全部可衍生修改路径、坚持非结合结构的核心学术依据,以及衍生变体溯源规范,永久锁定本三维数框架的原创优先权。 English:This document is based on Complete Operation Rules of the Three-Dimensional Number System as the sole original benchmark. The commutative non-associative three-dimensional algebra proposed herein is independently created by the author, including a complete set of self-consistent definitions: three-axis geometric framework, basis axioms, four fundamental arithmetic operations, conjugation, norm, inverse element, and subalgebra hierarchy. This statement shall be archived publicly together with the system rule document, attached with an immutable timestamp and DOI. It clarifies the boundary of the original system, all derivable modification approaches, core academic rationales for retaining non-associativity, and traceability standards for derivative variants, so as to permanently secure the original priority of this three-dimensional number framework.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-14
DOI
https://doi.org/10.5281/zenodo.21926677
Primary Topic
Polynomial and algebraic computation
Type
preprint
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preprint

三维数代数体系原创确权与衍生变体完整声明 Original Ownership and Derivative Variant Complete Statement of Three-Dimensional Number Algebra System

Zhongqiang Liu
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
preprint

三维数代数体系原创确权与衍生变体完整声明 Original Ownership and Derivative Variant Complete Statement of Three-Dimensional Number Algebra System

Zhongqiang Liu
preprint en

Abstract

本文档依附《三维数运算体系完整规则》作为唯一原生基准,为本人独立原创构造交换非结合三维代数 ,包含完整三轴几何结构、基底公理、四则运算、共轭、范数、逆元、子代数分层等全套自洽定义。本声明随体系规则文档同步公开归档,附带永久时间戳与 DOI,用于明确原生体系边界、全部可衍生修改路径、坚持非结合结构的核心学术依据,以及衍生变体溯源规范,永久锁定本三维数框架的原创优先权。 English:This document is based on Complete Operation Rules of the Three-Dimensional Number System as the sole original benchmark. The commutative non-associative three-dimensional algebra proposed herein is independently created by the author, including a complete set of self-consistent definitions: three-axis geometric framework, basis axioms, four fundamental arithmetic operations, conjugation, norm, inverse element, and subalgebra hierarchy. This statement shall be archived publicly together with the system rule document, attached with an immutable timestamp and DOI. It clarifies the boundary of the original system, all derivable modification approaches, core academic rationales for retaining non-associativity, and traceability standards for derivative variants, so as to permanently secure the original priority of this three-dimensional number framework.

Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
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三维数代数体系原创确权与衍生变体完整声明 Original Ownership and Derivative Variant Complete Statement of Three-Dimensional Number Algebra System — Zhongqiang Liu · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS