Entire slice regular quaternionic functions omitting four affinely independent values are constant.
The fundamental theorem of algebra for Hamilton and Cayley numbers
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Axiomatizes the first-order theories of quaternions and octonions over the ring language, characterizes models as algebras over real closed fields, proves model completeness without quantifier elimination, and describes algebraic sets arising from ordered polynomials.
citing papers explorer
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The Four-Point Picard Theorem for Quaternionic Slice Regular Functions
Entire slice regular quaternionic functions omitting four affinely independent values are constant.
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On the first-order theories of quaternions and octonions
Axiomatizes the first-order theories of quaternions and octonions over the ring language, characterizes models as algebras over real closed fields, proves model completeness without quantifier elimination, and describes algebraic sets arising from ordered polynomials.