n - y结合代数的线性性

Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2023-05-15 DOI:10.46991/pysu:a/2023.57.1.009

D. N. Harutyunyan

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摘要

本文讨论了n元正则除法结合代数。证明了n元正则除法关联代数中的每一个运算都可以在同一个二元群上内线性表示。Schauffler类定理将被证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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LINEARITY OF $n$-ARY ASSOCIATIVE ALGEBRAS

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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Proceedings of the YSU A: Physical and Mathematical Sciences

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