Concepts
Ring (Abstract Algebra)
Citation Formats
General Reference
APA Style
BibTeX
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
Cross-Tradition Connections
Sources
1. Ring, Mathematics (Wikipedia)
Wikimedia Foundationlead paragraphQuote, 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.
1. Ring, Mathematics (Wikipedia)
Wikimedia FoundationHistory sectionQuote, History section
The first axiomatic definition of a ring was given by Abraham Fraenkel in 1915.
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
Reader Challenges (0 open reader challenges)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.
View At A Past Year
The atlas records no dated fact of its own for this entry, so there is no other year to choose.