Geodesic
Permanents as formulas of summation over an algebra with a unique $n$-ary operation
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 6, pp. 796-799

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We give a new general definition for permanents over an algebra with a unique $n$-ary operation and study their properties. In particular, it is shown that properties of these permanents coincide with the basic properties of the classical Binet–Cauchy permanent (1812).
Keywords: permanents, noncommutative and multioperator algebras, the polarization theorem, polynomial identities. 
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     author = {Georgy P. Egorychev},
     title = {Permanents as formulas of summation over an algebra with a unique $n$-ary operation},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {796--799},
     publisher = {mathdoc},
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     number = {6},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_6_a15/}
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Georgy P. Egorychev. Permanents as formulas of summation over an algebra with a unique $n$-ary operation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 6, pp. 796-799. http://geodesic.mathdoc.fr/item/JSFU_2018_11_6_a15/