2018 Fall Course Syllabus - Mathematics 9100.001
Course: Mathematics 9100.001.
Course Title: Topics in Algebra: Finitely Generated Associative Algebras.
Time: Tuesdays and Thursdays, 11:00 - 12:20.
Place: Wachman 527.
Instructor: Edward S. Letzter.
Instructor Office: Wachman 526.
Instructor Email: edward.letzter@temple.edu
Instructor Phone: 1-7841.
Course Web Page: http://math.temple.edu/~letzter/9100
Office Hours: Tuesdays and Thursdays, 3:30 - 4:50, or by appointment.
Prerequisites: First year graduate algebra.
Textbook: Course notes in preparation.
Course Goals: To develop understanding of and experience with finitely generated noncommutative algebras over fields.
Topics Covered: The Nullstellensatz; Wedderburn Artin Theory. Infinite dimensional representations and primitive ideals. Polynomial Identities. Primitive ideals and representations of quantum n-space. Additional topics as time permits.
Course Grading: There will be course projects and presentations.
Exam Dates: In-class presentations to be scheduled.
Attendance Policy: Attendance is required.
Supplementary References: Some older and newer supplementary references (not for students to individually purchase): [1] Brown, Ken A.; Goodearl, Ken R. Lectures on algebraic quantum groups. Advanced Courses in Mathematics. CRM Barcelona. Birkhäuser Verlag, Basel, 2002. [2] Goodearl, K. R.; Warfield, R. B., Jr. An introduction to noncommutative Noetherian rings. Second edition. London Mathematical Society Student Texts, 61. Cambridge University Press, Cambridge, 2004. [3] Herstein, I. N. Noncommutative rings. Reprint of the 1968 original. With an afterword by Lance W. Small. Carus Mathematical Monographs, 15. Mathematical Association of America, Washington, DC, 1994. [4] Jacobson, Nathan. Structure of rings. American Mathematical Society, Colloquium Publications, vol. 37. American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. [5] Krause, Günter R.; Lenagan, Thomas H. Growth of algebras and Gelfand-Kirillov dimension. Revised edition. Graduate Studies in Mathematics, 22. American Mathematical Society, Providence, RI, 2000. [6] Lam, T. Y. A first course in noncommutative rings. Second edition. Graduate Texts in Mathematics, 131. Springer-Verlag, New York, 2001. [7] McConnell, J. C.; Robson, J. C. Noncommutative Noetherian rings. With the cooperation of L. W. Small. Revised edition. Graduate Studies in Mathematics, 30. American Mathematical Society, Providence, RI, 2001.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.
Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar for exact dates.
During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (Opens in new tab/window) for exact dates. See the full policy by clicking here. (Opens in new tab/window)
The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here. (Opens in new tab/window)