Noncommutative unique factorization domain
From HandWiki
Revision as of 18:27, 9 May 2022 by imported>Unex (url)
In mathematics, a noncommutative unique factorization domain is a noncommutative ring with the unique factorization property.
Examples
- The ring of Hurwitz quaternions, also known as integral quaternions. A quaternion a = a0 + a1i + a2j + a3k is integral if either all the coefficients ai are integers or all of them are half-integers.
References
- P.M. Cohn, "Noncommutative unique factorization domains", Transactions of the American Mathematical Society 109:2:313-331 (1963). full text
- R. Sivaramakrishnan, Certain number-theoretic episodes in algebra, CRC Press, 2006, ISBN 0-8247-5895-1
Notes
- ↑ Cohn, p. 329
![]() | Original source: https://en.wikipedia.org/wiki/Noncommutative unique factorization domain.
Read more |