division ring
A division ring is a ring with identity such that
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For all nonzero , there exists with
Every field is a commutative division ring. The Hamiltonian quaternions are an example of a division ring which is not a field.
Title | division ring |
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Canonical name | DivisionRing |
Date of creation | 2013-03-22 11:48:46 |
Last modified on | 2013-03-22 11:48:46 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 10 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 16K99 |
Classification | msc 81P05 |
Synonym | skew field |