MAT 4141 Rings and Modules II

3 units
Mathematics
Faculty of Science
Noetherian and artinian modules and rings. Algebraic sets, vanishing ideals, Hilbert Basis Theorem, radical ideals, Hilbert Nullstellensatz. Localization of rings and modules. Tensor product of modules and algebras. Semisimple rings and modules, Schur’s lemma, Jacobson Density Theorem, Artin-Wedderburn Theorem. Short exact sequences, free modules, projective modules, injective modules, flat modules.

Components:

Lecture

Requirements:

Prerequisites: MAT 3141 or MAT 3143 .

Previously Offered Terms:

Fall

French Equivalent:

Organized

17 responses

3.87

/ 5

strongly agree
59%
agree
6%
disagree
0%
strongly disagree
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Clear Expectations

8 responses

2.63

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strongly agree
13%
agree
13%
neither agree nor disagree
13%
disagree
50%
strongly disagree
13%
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Learned a Lot

17 responses

3.88

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strongly agree
53%
agree
12%
disagree
24%
strongly disagree
6%
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Recommend

9 responses

4.78

/ 5

strongly agree
78%
agree
22%
disagree
0%
strongly disagree
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Workload

9 responses

2.67

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very heavy
11%
heavier than average
11%
average
78%
lighter than average
0%
very light
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Fair Assessments

17 responses

3.86

/ 5

strongly agree
41%
agree
18%
disagree
18%
strongly disagree
6%
question not applicable
18%
25%
50%
75%
100%