Rings and Fields · Algebra
Ideals and Quotient Rings
Quotient rings are built from ideals just as quotient groups are built from normal subgroups. The ideal determines the character of the quotient.
WHAT STUDENTS WILL LEARN
✓Define ideals; verify examples
✓Construct quotient rings R/I
✓Characterize maximal ideals (R/I is a field)
✓Characterize prime ideals (R/I is an integral domain)
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