Schauffler-Type Theorems

In this work the Belousov theorem on linearity of invertible algebras with the Schauffler -identity is extended to regular division algebras for other associative -identities. For the formulas at consideration, the Schauffler-type theorems are also proved. The results are applicable in cryptography...

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Bibliographic Details
Published in:Journal of contemporary mathematical analysis 2023-04, Vol.58 (2), p.116-124
Main Authors: Movsisyan, Yu. M., Harutyunyan, D. N.
Format: Article
Language:English
Subjects:
Cryptography
Mathematics
Mathematics and Statistics
Theorems
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Summary:In this work the Belousov theorem on linearity of invertible algebras with the Schauffler -identity is extended to regular division algebras for other associative -identities. For the formulas at consideration, the Schauffler-type theorems are also proved. The results are applicable in cryptography (cf. [1–3]).
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362323020073