MATH 411
Commutative Algebra
Last Offered Fall 2021
Division III
Q Quantitative/Formal Reasoning
This course is not offered in the current catalog
Class Details
Commutative Algebra is an essential area of mathematics that provides indispensable tools to many areas, including Number Theory and Algebraic Geometry. This course will introduce you to the fundamental concepts for the study of commutative rings, with a special focus on the notion of “prime ideals,” and how they generalize the well-known notion of primality in the set of integers. Commutative algebra has applications ranging from algebraic geometry to coding theory. For example, one can use commutative algebra to create error correcting codes. It is perhaps most often used, however, to study curves and surfaces in different spaces. To understand these structures, one must study polynomial rings over fields. This course will be an introduction to commutative algebra. Possible topics include polynomial rings, localizations, primary decomposition, completions, and modules.
The Class:
Format: lecture
Limit: 25
Expected: 15
Class#: 1325
Grading: yes pass/fail option, yes fifth course option
Limit: 25
Expected: 15
Class#: 1325
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation:
homework and exams
Prerequisites:
MATH 355 or permission of instructor
Enrollment Preferences:
Math majors
Distributions:
Divison III
Quantitative/Formal Reasoning
QFR Notes:
It is a 400-level math course
Class Grid
Updated 5:43 pm
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MATH 411 - LEC Commutative Algebra
MATH 411 LEC Commutative AlgebraDivision III Q Quantitative/Formal ReasoningNot offered