TL;DR
This paper explores the structure of affine and wrap algebras over octonions and quaternions, focusing on residues of functions to construct and analyze these complex algebraic systems.
Contribution
It introduces a novel approach to constructing affine and wrap algebras over octonions using residues of quaternion and octonion functions.
Findings
Residues of quaternion and octonion functions are fundamental in algebra construction.
The structure of affine and wrap algebras over octonions is systematically investigated.
New algebraic properties specific to octonion-based algebras are identified.
Abstract
The article is devoted to affine and wrap algebras over quaternions and octonions. Residues of functions of quaternion and octonion variables are studied. They are used for construction of such algebras. Their structure is investigated.
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