zero divisor graphs based on general hyperrings‎

‎this paper introduces the concepts of reproduced general hyperring and valued-orderable general hyperring and investigates some properties of these classes of general hyperrings‎. ‎it presents the notions of‎ ‎zero divisors and zero  divisor graphs are founded on the absorbing elements of general hyperrings‎. ‎general hyperrings can have more than one zeroing element‎, ‎and therefore‎, ‎based on the zeroing elements‎, ‎multiple zero divisors can be obtained‎. ‎in this study‎, ‎we  discuss the isomorphism of zero divisor graphs based on the diversity of divisors of zero divisors‎. ‎the non-empty  intersection of the set of absorbing elements and the hyperproduct of zero divisors of general hyperrings play a major  role in the production of zero divisor graphs‎. ‎indeed it investigated a type classification of zero divisor graphs based on  the finite general hyperrings‎. ‎we discuss the finite reproduced general hyperrings‎, ‎investigate their zero divisor graphs‎, ‎and show that an infinite reproduced general hyperring can have a finite zero divisor graph‎.