Math 361, Spring 2014, Assignment 1

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

  1. Homomorphism (of rings).
  2. Kernel (of a ring homomorphism).
  3. Ideal.
  4. Quotient ring.

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

  1. Fundamental theorem on ring homomorphisms.

Solve the following problems:

  1. Section 26, problems 4, 12, 13, 14, 15, and 17.
--------------------End of assignment--------------------

Questions:

Solutions:

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