Math 361, Spring 2014, Assignment 4

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Revision as of 00:49, 23 February 2014 by Ruijia.Zhang (talk | contribs) (→‎Questions:)

Carefully define the following terms, then give one example and one non-example of each:

  1. Algebraic element (of an extension field).
  2. Minimal polynomial (of an algebraic element).
  3. Conjugate (of an algebraic element).
  4. Subextension generated by a subset.
  5. Finitely generated extension.
  6. Simple extension.

Carefully state the following theorems (you need not prove them):

  1. Classification of simple extensions.

Solve the following problems:

  1. Section 29, problems 1, 5, 7, 11, and 13.
--------------------End of assignment--------------------

Questions:

1. Is the quiz still going to be on Monday now that you posted the homework so late?

Solutions:

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