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math.RA2002
The elementary polynomials in noncommuting variables
Samuel S. Holland
We study the ring generated over a field of characteristic 0 by noncommuting indeterminates {x_1,x_2,...,x_n} subject only to the relations x_iσ_k=σ_k x_i, for i,k=1,2,...,n, and t…
math.RA1995★ 1 cited
Orthomodularity in infinite dimensions; a theorem of M. Solèr
Samuel S. Holland
Maria Pia Solèr has recently proved that an orthomodular form that has an infinite orthonormal sequence is real, complex, or quaternionic Hilbert space. This paper provides an expo…