Algorithms for determining the type of algebraic hyperstructures and morphisms

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Pourhaghani Aboutorab; Anvariyeh Seid Mohammad; Davvaz Bijan

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Journal Paper

Paper Information

Journal: Mathematics and Computational Sciences Year:2025 | Volume:6 | Issue:1 Page(s): 67-88

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Information Journal Paper

Title

Algorithms for determining the type of algebraic hyperstructures and morphisms

Author(s)

Pourhaghani Aboutorab | Anvariyeh Seid Mohammad | Davvaz Bijan | Issue Writer Certificate

Keywords

algorithm

Hypergroupoid

Hypergroup

H_v-group

Algebraic Hyperstructure

Homomorphism

Abstract

In this paper, we present some primary methods to define a Hypergroupoid/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> Hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction axiom, determining the type of a Hypergroupoid/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> Hypergroupoid (H,ο) and the type of a morphism f in a Hypergroupoid/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> Hypergroupoid (H,ο). The goal of this paper is to provide algorithms for checking the basic features and morphisms in Algebraic Hyperstructures. Our attention is on algorithms for Algebraic Hyperstructures with one hyperoperation (i.e. Hypergroupoid/fa?page=1&sort=1&ftyp=all&fgrp=all&fyrs=all" target="_blank"> Hypergroupoids). The algorithms can be developed for other Algebraic Hyperstructures.

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