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Noncommutative unique factorization domain

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In mathematics, the noncommutative unique factorization domain is the noncommutative counterpart of the commutative or classical unique factorization domain (UFD).

Example

  • The ring of integral quaternions. If the coefficients a0, a1, a2, a3 are integers or halves of odd integers of a rational quaternion a = a0 + a1i + a2j + a3k then the quaternion is integral.

References

  • R. Sivaramakrishnan, Certain number-theoretic episodes in algebra, CRC Press, 2006, ISBN 0-8247-5895-1

Notes


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