Multiplicative summations into algebraically closed fields
@inproceedings{Dawson2021MultiplicativeSI, title={Multiplicative summations into algebraically closed fields}, author={Robert J. MacG. Dawson and Grant Molnar}, year={2021} }
In this paper, extending our earlier program, we derive maximal canonical extensions for multiplicative summations into algebraically closed fields. We show that there is a well-defined analogue to minimal polynomials for a series algebraic over a ring of series, the “scalar polynomial”. When that ring is the domain of a summation S, we derive the related concepts of the S-minimal polynomial for a series, which is mapped by S to a scalar polynomial. When the scalar polynomial for a series has…
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