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Set Operations : Commutativity, Unity, Zero Divisors

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Consider the set R={0,2,4,6,8} C Z10.
a) Construct addition and multiplication tables for R, using the operations in Z10.

b) Is R a commutative ring? Does it have unity and, if so, which element is unity?

c) Does R have zero divisors?

d) Which elements of R have multiplicative inverses?

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Commutativity, Unity, Zero Divisors and Multiplicative Inverses are investigated.

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Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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