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・ Noncommutative algebraic geometry
・ Noncommutative geometry
・ Noncommutative harmonic analysis
・ Noncommutative Jordan algebra
・ Noncommutative logic
・ Noncommutative measure and integration
・ Noncommutative projective geometry
・ Noncommutative quantum field theory
・ Noncommutative residue
・ Noncommutative ring
・ Noncommutative signal-flow graph
・ Noncommutative standard model
・ Noncommutative symmetric function
・ Noncommutative topology
・ Noncommutative torus
Noncommutative unique factorization domain
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Noncommutative unique factorization domain : ウィキペディア英語版
Noncommutative unique factorization domain

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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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