Let S be a set. Consider the algebraic structure (p(S),U,n). Taking union to be the additive...
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Let S be a set. Consider the algebraic structure (p(S),U,n). Taking union to be the additive operation and intersection to be the multiplicative operation, investigate whether or not this algebraic structure is a commutative ring. That is, either prove or provide a counterexample for each property of a commutative ring. Bonus: Does this structure have zero divisors? Let S be a set. Consider the algebraic structure (p(S),U,n). Taking union to be the additive operation and intersection to be the multiplicative operation, investigate whether or not this algebraic structure is a commutative ring. That is, either prove or provide a counterexample for each property of a commutative ring. Bonus: Does this structure have zero divisors?
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Answer rating: 100% (QA)
Closed Under Addition Yes this algebraic structure is closed under addition union This is because the union of two sets in S is another set in S Close... View the full answer
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
Posted Date:
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