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Instructor: Farid Aliniaiefard Office: Math 202 Telephone: 303-492-1216 Email: farid.aliniaeifard@colorado.edu Webpage: http://euclid.colorado.edu/~faal7058/ ANNOUNCEMENTS: |
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ABOUT:
| Course | Title | Section | time | Days | room |
|---|---|---|---|---|---|
| Math 6250 | Theory of Rings | 001 | 10:00-10:50 | MWF | ECCR 118 |
Office Hours: MWF 11-11:50 or by appointment
| Course description: In this course we study the structure of rings, specially Artinian and Noetherian rings. |
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| Course Learning Objectives: |
| Textbook: Algebra by Hungerford and A First Course in Noncommutative Rings by Tsit-Yuen Lam |
| Syllabus: | TOPIC ( For Notes (Click) ) |
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| Introduction to Categories | |
| Chain condition | |
| Prime and primary ideals | |
| Primary decomposition | |
| Noetherian rings and modules | |
| Ring extensions ( won't be covered) | |
| Dedekind Domains | |
| The Hilbert Nullstellensatz | |
| Simple and primitive rings | |
| Simple and primitvie rings | |
| The Jacobson radical | |
| Semisimple rings | |
| The prime radical; prime and semiprime rings | |
| Algebras | |
| Division alagebras | |
| Theory of idempotents |
| Homeworks | 50 % |
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| Two take home Midterms | 30% of the final grade (15% of the final grade each). The first exam is on Monday, Feb . 18, 2019 , and the second is on Friday, March 22, 2019 ) |
| Final Examination | 15% of the final grade (the final exam is on |
| Project | 20% |
| Homeworks | Questions (From Hungerford Textbook) | Assigned | Due |
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| Homework 1 | Chapter VIII, Section 1: 4, 5, 6, 7, Section 2: 1, 4, 5, 11, 15, 19 | Jan. 25, 2019 | Feb 8. 2019 |
| Homework 2 | Chapter VIII, Section 3: 2, 3, 5, 8, 11 Section 4: 1, 3, 4, 5, 8 | Feb 11, 2019 | Feb 22. 2019 |
| Homework 3 | Chapter VIII, Section 6: 2, 8, 10, 11 Section 7: 1, 2, 3, 5, 8, 9 | Feb 25, 2019 | March 11. 2019 |
| Homework 4 | Chapter IX, Section 1: 2, 3, 5, 6, 7 Section 2: 13, 14, 15, 16 | March 11, 2019 | April 5. 2019 |
Honor Code
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Student classroom and course-related behavior
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Missed Exams
If you know that you are going to miss an exam or cannot take the final exam at the scheduled time, please notify your instructor immediately. If you miss the first midterm exam for any acceptable reason (e.g. religious obligation, documented illness), it will be replaced by your second midterm exam score, if you miss the second midterm exam for any acceptable reason, it will be replaced by your final exam score. If you miss both midterm exams for acceptable reasons, each midterm score will be replaced by your final exam score. If you miss the final exam (unless it is for an acceptable reason), you will score zero on the final and you should expect to fail the course.Religious Obligations
Campus policy regarding religious observances requires that faculty make every effort to deal reasonably and fairly with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, you should notify your instructor of any conflict immediately.http://www.colorado.edu/policies/fac_relig.html
Statement on Discrimination and Harassment
The University of Colorado Boulder (CU-Boulder) is committed to maintaining a positive learning, working, and living environment. CU-Boulder will not tolerate acts of discrimination or harassment based upon Protected Classes or related retaliation against or by any employee or student. For purposes of this CU-Boulder policy, "Protected Classes" refers to race, color, national origin, sex, pregnancy, age, disability, creed, religion, sexual orientation, gender identity, gender expression, veteran status, political affiliation or political philosophy. Individuals who believe they have been discriminated against should contact the Office of Institutional Equity and Compliance (OIEC) at 303-492-2127 or the Office of Student Conduct and Conflict Resolution (OSC) at 303-492-5550. Information about the ODH, the above referenced policies, and the campus resources available to assist individuals regarding discrimination or harassment can be obtained at http://www.colorado.edu/odh.