LINEARITY OF $n$-ARY ASSOCIATIVE ALGEBRAS

David N. Harutyunyan

doi:10.46991/PYSU:A/2023.57.1.009

Authors

David N. Harutyunyan Chair of Algebra and Geometry, YSU, Armenia https://orcid.org/0009-0006-5288-2967

DOI:

https://doi.org/10.46991/PYSU:A/2023.57.1.009

Keywords:

regular division groupoids, n-ary groupoids, quasiendomorphisms, Schauffler theorem

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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