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Jan 26, 2015 by Misrak Negatu (misrak)
MATH 6102 : Algebra II
Mon, 26 Jan 2015 09:37:44 GMT
Wed, 21 Jan 2015 22:31:44 GMT
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MATH 6120 : Topics in Algebra
Columbian College of Arts and Sciences
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Continuation of MATH 6101. Theory of modules, including modules over a principal idea domain and tensor product of modules. Theory of fields, including finite fields and Galois theory.
As a result of successfully completing this course, students will be able to:
1. Recall all basic definitions, theorems, proofs and examples relating to the topics of groups, rings, fields, and modules;
2. Perform analyses of the logic and structure of various kinds of proofs in abstract algebra.
3. Synthesize material from different subfields of abstract algebra in order to construct conceptual frameworks of increasing abstraction;
4. Apply their knowledge of the facts of abstract algebra and their comprehension of the conceptual structure of that field in the creation of arguments and examples relating to facts and concepts of groups, rings, fields and modules with which they do not have prior experience.
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Math 6102_Abrams_Spring 2013.doc
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