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Ring (Abstract Algebra)

Algebra

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations, typically called addition and multiplication, such that the set is an abelian group under addition and multiplication distributes over addition. Richard Dedekind laid the foundations of the concept, and David Hilbert coined the term Zahlring, number ring, from which the modern word ring descends, while studying invariant theory.

Facts
Origin Year
1915 1
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Associated With

Source MacTutor History of Mathematics Archive
Source Ring, Mathematics (Wikipedia)

Attributed To

Source Ring, Mathematics (Wikipedia)
Source Ring, Mathematics (Wikipedia)

In Branch

Source Ring, Mathematics (Wikipedia)
Sources
1. Ring, Mathematics (Wikipedia)
Wikimedia Foundation
  • lead paragraph
    In mathematics, a ring is an algebraic structure consisting of a set with two binary operations typically called addition and multiplication and denoted like addition and multiplication of integers.
  • History section
    The first axiomatic definition of a ring was given by Abraham Fraenkel in 1915.
  • Attributed To: David Hilbert, Lead section
    key contributions by Richard Dedekind, David Hilbert, Abraham Fraenkel, and Emmy Noether
  • Attributed To: Emmy Noether, Lead section
    key contributions by Richard Dedekind, David Hilbert, Abraham Fraenkel, and Emmy Noether
View the Source
MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statisticshttps://mathshistory.st-andrews.ac.uk/HistTopics/Ring_theory/
Quote, https://mathshistory.st-andrews.ac.uk/HistTopics/Ring_theory/
the word number ring (Zahlring) or ring is due to Hilbert
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