Algorithms for Finding Specific Elements in Algebraic‎ ‎Hyperstructures‎ ‎with‎ ‎One Hyperoperation

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
‎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.
Language:
English
Published:
Mathematics Interdisciplinary Research, Volume:10 Issue: 1, Winter 2025
Pages:
49 to 70
https://www.magiran.com/p2833362  
سامانه نویسندگان
  • Pourhaghani، Aboutorab
    Author (1)
    Pourhaghani, Aboutorab
    Researcher Algebra, Pure Mathematics, Department of Mathematical Sciences, University of Yazd, Yazd, Iran
اطلاعات نویسنده(گان) توسط ایشان ثبت و تکمیل شده‌است. برای مشاهده مشخصات و فهرست همه مطالب، صفحه رزومه را ببینید.