totally, imaginary, number, field, algebraic, number, theory, number, field, called, totally, imaginary, totally, complex, cannot, embedded, real, numbers, specific, examples, include, imaginary, quadratic, fields, cyclotomic, fields, more, generally, fields, . In algebraic number theory a number field is called totally imaginary or totally complex if it cannot be embedded in the real numbers Specific examples include imaginary quadratic fields cyclotomic fields and more generally CM fields Any number field that is Galois over the rationals must be either totally real or totally imaginary References editSection 13 1 of Alaca Saban Williams Kenneth S 2004 Introductory algebraic number theory Cambridge University Press ISBN 978 0 521 54011 7 nbsp This number theory related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Totally imaginary number field amp oldid 1063359995, wikipedia, wiki, book, books, library,
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