LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS

Author(s)

LINEARITY OF п-ARY ASSOCIATIVE ALGEBRAS David Harutyunyan

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.

DOI: 10.46991/PYSU:A/2023.57.1.009 Physical and Mathematical Sciences, 57(1 (260) 9-22

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Keywords

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

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