Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (6)
- Authors
- Egorychev, Georgy P.
- Contact information
- Egorychev, Georgy P.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia;
- Keywords
- permanents; noncommutative and multioperator algebras; the polarization theorem; polynomial identities
- Abstract
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)
- Pages
- 796–799
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109068
Journal of Siberian Federal University. Mathematics & Physics / Permanents as formulas of summation over an algebra with a unique n-ary operation
Full text (.pdf)