Explore BrainMass

Explore BrainMass

    If R is a unique factorization domain and if a and b in R are relatively prime (i.e.,(a,b) = 1), whenever a divides bc, then a divides c. That is, if R is a unique factorization domain and if a and b in R are relatively prime (i.e., (a,b) = 1), whenever a divides bc then a divides c.

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    If R is a unique factorization domain and if a and b in R are relatively prime
    (i.e.,(a,b) = 1), whenever a divides bc, then a divides c.
    That is, if R is a unique factorization domain and if a and b in R are relatively prime
    (i.e., (a,b) = 1), whenever a divides bc then a divides c.

    © BrainMass Inc. brainmass.com December 24, 2021, 6:41 pm ad1c9bdddf
    https://brainmass.com/math/number-theory/132134

    Attachments

    Solution Summary

    This solution is comprised of a detailed explanation of the relation between relatively prime elements.
    It contains step-by-step explanation of the problem that if R is a unique factorization domain and if a and b in R are relatively prime (i.e.,(a,b) = 1), whenever a divides bc, then a divides c.
    Notes are also given at the end.

    Solution contains detailed step-by-step explanation.

    $2.49

    ADVERTISEMENT