Jun 05, 2023  
2014-2015 University Catalog 
2014-2015 University Catalog [ARCHIVED CATALOG]

MA 55700 - Abstract Algebra I

Credit Hours: 3.00. Review of fundamental structures of algebra (groups, rings, fields, modules, algebras); Jordan-Holder and Sylow theorems; Galois theory; bilinear forms; modules over principal ideal domains; Artinian rings and semisimple modules. Polynomial and power series rings; Noetherian rings and modules; localization; integral dependence; rudiments of algebraic geometry and algebraic number theory; ramification theory. Typically offered Fall.