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We found one dictionary that defines the word hyperideal:

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  1. hyperideal: Wiktionary

Definitions from Wiktionary (hyperideal)

noun:  (mathematics) An ideal of a semihypergroup.
noun:  A form of salvarsan that was introduced by Paul Ehrlich, but soon found to be prone to severe side effects.
noun:  An extreme ideal.
adjective:  Extremely idealized.
adjective:  Extremely close to the ideal.

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