Catalogue 2019 - 2020

MAMT 566 Algebraic Structures


3 cr.


MAMT 550 or MAMT 554 or permission of the department.

Course Description

Elementary algebra consists of sets of real numbers and their operations with properties such as closure, commutativity, associativity, distributivity, inverses, and identity elements. At the more abstract level, algebraic structures called groups, rings, and fields have some, or all, of the same properties. This course, will examine these algebraic structures from a general point of view, compare different structures, and study structure-preserving maps.  Applications of these structures in mathematics and the applied sciences will also be introduced.