MATH 115AH Lecture Notes - Lecture 1: Astarte

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21 Oct 2018
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F be a set then f is called a. A - b : ca , b ) satisfying the flowing axioms. Ma . a- b = b. a . Dz . cat b) c act be . F be a field : b. cef , then the following are true . O then b is unique . write a for. Atb = ate then c . ato and ab - I then b is unique , write a- for. = o: if, b o then a o or o ( ms, a b - a. c ato then be . Ab: tf at o then ( a- Cl is is a a field field . if fatbfla. be r } . otatbf. Z satisfies all the axioms of a field except for. I } then f is a field under. F fields with n ebbs for n: 3.

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