• Corpus ID: 244462998

Multiplicative summations into algebraically closed fields

  title={Multiplicative summations into algebraically closed fields},
  author={Robert J. MacG. Dawson and Grant Molnar},
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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