University of Kashan Mathematics Interdisciplinary Research 2538-3639 10 1 2025 03 01 Algorithms for Finding Specific Elements in Algebraic‎ ‎Hyperstructures‎ ‎with‎ ‎One Hyperoperation 49 70 114731 10.22052/mir.2024.255119.1470 EN Aboutorab Pourhaghani ‎Department of Mathematical Sciences, ‎Yazd University,‎Yazd‎, ‎I‎. ‎R‎. ‎Iran Seid Mohammad Anvariyeh ‎Department of Mathematical Sciences, ‎Yazd University,‎Yazd‎, ‎I‎. ‎R‎. ‎Iran Bijan Davvaz ‎Department of Mathematical Sciences, ‎Yazd University,‎Yazd‎, ‎I‎. ‎R‎. ‎Iran Journal Article 2024 07 04 ‎In this paper‎, ‎first‎, ‎we show how to define an algebraic hyperstructure by using algorithms‎. ‎Then‎, ‎we present algorithms that calculate specific elements in algebraic hyperstructures‎. ‎These specific elements are‎: ‎scalars‎, ‎scalar identities‎, ‎identities‎, ‎inverses‎, ‎zero elements‎, ‎right simplifiable elements‎, ‎left simplifiable elements‎, ‎left absorbing-like elements and right absorbing-like elements‎. ‎We also introduce some algorithms in algebraic hyperstructures to check properties or calculate specific members‎. ‎These algorithms are presented for algebraic hyperstructures with one hyperoperation‎, ‎i.e‎. ‎hypergroupoids‎. ‎However‎, ‎they can be developed for other algebraic hyperstructures‎. https://mir.kashanu.ac.ir/article_114731_3157089844fcdfc25a346deac2660393.pdf