Rings and Fields · Algebra
Introduction to Rings
A ring has two operations satisfying the axioms of an abelian group (addition) and a monoid (multiplication), linked by distributivity.
WHAT STUDENTS WILL LEARN
✓Define rings and commutative rings with unity
✓Identify units, zero divisors, nilpotents
✓Define integral domains and fields
✓Prove basic ring identities from axioms
BUILDS ON
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