Algorithms for Finding Specific Elements in Algebraic Hyperstructures with One Hyperoperation
نویسندگان
1 Department of Mathematical Sciences, Yazd University,Yazd, I. R. Iran
2 Department of Mathematical Sciences, Yazd University,Yazd, I. R. Iran
3 Department of Mathematical Sciences, Yazd University,Yazd, I. R. Iran
doi
10.22052/mir.2024.255119.1470چکیده
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.
