Abstract
There are two ways to generalize basic constructions of commutative algebra for a noncommutative case. More traditional way is to define commutative functions like trace or determinant over noncommuting variables. Beginning with [6] this approach was widely used by different authors, see for example [5], [15], [14], [12], [11], [7].
This research was supported by the Rosenbaum Foundation.
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Gelfand, I., Retakh, V. (1996). Noncommutative Vieta Theorem and Symmetric Functions. In: Gelfand, I.M., Lepowsky, J., Smirnov, M.M. (eds) The Gelfand Mathematical Seminars, 1993–1995. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4082-2_6
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DOI: https://doi.org/10.1007/978-1-4612-4082-2_6
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