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The determinants over associative rings: a definition, properties, new formulas and a computational complexity
Georgy P. Egorychev Institute of Mathematics and Computer Science,
Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Abstract:
We give a new definition for the determinants over an associative ring Q and study their properties. In particular, we obtain a new family of polynomial identities (computational formulas) for these
determinants that contain up to n! free variables.
Keywords:
determinants, associative rings, noncommutative variables, the polarization theorem, polynomial identities.
Received: 17.06.2016 Received in revised form: 05.07.2016 Accepted: 15.09.2016
Citation:
Georgy P. Egorychev, “The determinants over associative rings: a definition, properties, new formulas and a computational complexity”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 443–448
Linking options:
https://www.mathnet.ru/eng/jsfu503 https://www.mathnet.ru/eng/jsfu/v9/i4/p443
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Abstract page: | 231 | Full-text PDF : | 79 | References: | 48 |
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