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Concept
Division Ring
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Summary
A
Division Ring
is an
Algebraic Structure
where division is possible, but multiplication may not be commutative. It extends the concept of a field by allowing non-
Commutative multiplication
, exemplified by the quaternions, a well-known
Division Ring
.
Concepts
Non-commutative Algebra
Field Theory
Quaternions
Associative Ring
Multiplicative Inverse
Skew Field
Ring Homomorphism
Simple Ring
Desarguesian Plane
Invertible Elements
Wedderburn-Artin Theorem
Relevant Degrees
Algebra 70%
Fundamentals of Mathematics 30%
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