Zero Divisor Graphs Based on General Hyperrings
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:
Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:4 Issue: 2, Spring 2023
Pages:
131 to 149
https://www.magiran.com/p2663995
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