Produce an example of a subset of 1R³ that is Closed under addition, but not closed under scalar Multiplication.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 26E: Prove that every ordered integral domain has characteristic zero.
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Produce an example of a subset of 1³ that is
Closed under addition, but not closed under scalar
Multiplication.
Transcribed Image Text:Produce an example of a subset of 1³ that is Closed under addition, but not closed under scalar Multiplication.
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