Course Details
Country:
Japan
Institution:
Waseda University
Course Title:
Foundations of Algebra B
Course Number:
26MA012004
Course Description:
Students will learn the following concepts:
Sets and maps: review of definitions, equivalent relations
Groups: definition, homomorphism, image, kernel, subgroup, normal subgroups, examples: cyclic groups, dihedral groups, symmetric groups, quotient group
Rings: definition, ideals and quotient rings, Z/nZ, zero-divisors, integral domain, euclidean domain and principal ideal domain (PID), unique factorization in PID
Fields: residue field of PID, field extensions of Q, simple algebraic extensions, algebraically closed field.
Language:
English
Approved Equivalent:
MATH 421
Attachment Files:
