{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

algebrasyllabus - Modules isomorphism theorems finitely...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Syllabus for Preliminary Exam for 631-632 Algebra I, II Linear algebra: vector spaces, linear transformations, eigenvectors and diagonalization, Jordan canonical form, bilinear forms and inner product spaces, normal operators. Groups: cosets, quotient groups, isomorphism theorems, group actions, Sylow theorems, finitely generated abelian groups. Rings: ideals, quotients, isomorphism theorems, principal ideal domains, unique factorization domains, Euclidean domains, integers and polynomials.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Modules: isomorphism theorems, finitely generated modules over principal ideal domains. Fields: field extensions, algebraic and transcendental elements and extensions, Galois theory. Suggested textbook: M. Artin, Algebra Chapter 2, 3, 4(sections 1-4, 6), 5(sections 5-7), 6(sections 1, 3-6), 7(sections 1-5), 10(sections 1-7), 11(sections 1-4), 12(sections 1-7), 13(sections 1-3,5,6), 14 (sections 1-5)....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern