>
Fa   |   Ar   |   En
   algorithms for finding specific elements in algebraic‎ ‎hyperstructures‎ ‎with‎ ‎one hyperoperation  
   
نویسنده pourhaghani aboutorab ,anvariyeh mohammad ,davvaz bijan
منبع mathematics interdisciplinary research - 2025 - دوره : 10 - شماره : 1 - صفحه:49 -70
چکیده    ‎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.
کلیدواژه algorithm‎، ‎hypergroupoid‎، ‎algebraic hyperstructure‎، ‎specific element
آدرس ‎yazd university, ‎department of mathematical sciences, iran, ‎yazd university, ‎department of mathematical sciences, iran, ‎yazd university, ‎department of mathematical sciences, iran
پست الکترونیکی davvaz@yazd.ac.ir
 
     
   
Authors
  
 
 

Copyright 2023
Islamic World Science Citation Center
All Rights Reserved