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Foundations of Free Noncommutative Function Theory - Kaliuzhnyi-Verbovetskyi, Dmitry S. a Vinnikov, Victor

Develops a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include noncommutative polynomials, power series, and rational expressions.

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