Any algebraic structure equipped with a hyperoperation.(noun)
Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License
Use "hyperstructure" in a sentence
"Reactive gas-filled vapour cells can be used in frequency standard devices, especially as a cavity in atomic clocks, where the time is delivered during the hyperstructure transition from the metal alkali atoms such as cesium or rubidium."
"We contributed to this body of evidence in proposing the hypothesis of the replication hyperstructure."
"These results clearly support the replication hyperstructure model."