hyperring

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noun

A nonempty set R that supports hyperaddition as an abelian hypergroup with neutral element 0, multiplication as a monoid with identity element one, supports the distributive law, and for which multiplication by zero always yields the result 0.

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Meanings

nounhyperring (plural hyperrings)

plural hyperrings

  1. mathematicsA nonempty set R that supports hyperaddition as an abelian hypergroup with neutral element 0, multiplication as a monoid with identity element one, supports the distributive law, and for which multiplication by zero always yields the result 0.

Origin

From hyper- + ring.

Full word history & related roots →
Cite this entry
APA

hyperring. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/hyperring

MLA

“hyperring.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hyperring. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “hyperring,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/hyperring.

Source: hyperring on Wiktionary, CC BY-SA 4.0.