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3 cards from this section. Quick, good the night before a test.
What is a ring in mathematical terms?
Think about the operations involved.
List the properties required for an abelian group.
Remember the acronym CAIRE!
What is the required identity element for addition in a ring?
Think about what number you add to keep another number the same.
True or False: Every element in a ring must have a multiplicative inverse.
Reflect on the definition of units.
Consider the set of rational numbers. Prove whether it forms a ring under standard addition and multiplication.
Examine the nature of rational numbers under these operations.
Explore whether the set of even integers forms a ring under addition and multiplication.
Which numbers are involved when you add or multiply?
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