LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS

David Harutyunyan

doi:10.46991/PYSU:A/2023.57.1.009

Author

David Harutyunyan *

* Corresponding author

Category: Natural Sciences, Mathematics
DOI: 10.46991/PYSU:A/2023.57.1.009
Published: 2023-05-15
License: CC BY-NC 4.0

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Keywords

regular division groupoidsn-ary groupoidsquasiendomorphismsSchauffler theorem

Cite this article

Harutyunyan, D. (2023). LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS. , Physical and Mathematical Sciences, 57(1 (260), 9-22. https://doi.org/10.46991/PYSU:A/2023.57.1.009

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2023; Physical and Mathematical Sciences, 57(1 (260): 9–22

DOI: 10.46991/PYSU:A/2023.57.1.009

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LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS

David Harutyunyan*

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

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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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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LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS

Abstract

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