DIOPHANTINE INEQUALITIES AND QUASI-ALGEBRAICALLY CLOSED FIELDS 1. Introduction A homogeneous polynomial of odd degree, with real
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I learned in Galois Theory that any field can be algebraically closed, with the proof using Zorn's Lemma. Is the algebraic closure of a finite field recognizable in any sense, like the
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HANDOUT ON TRANSCENDENCE DEGREE MATH 60220, Prof. Sam Evens We prove properties of transcendence degree. Let E/F be a field exte
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