2023; Physical and Mathematical Sciences, 57(1 (260): 9–22
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LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS

Received: 2025-01-21 · Published: 2023-05-15

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Original title
LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS
Author
David Harutyunyan
Published
2023-05-15
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2023.57.1.009

Abstract

In this paper n-ary regular division associative algebras are discussed.  It is shown that every operation in n-ary regular division associative algebra will be endo-linearly represented over the same binary group. Schauffler like theorem will be proved for those algebras.
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