Abstract
In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings. Then we investigate of their properties and give some examples. Hyperstructures are very important topic because it satisfy to study multidisiplinary. Especially in chemistry, coding theory, geometry, artificial intelligence, etc.
Keywords
Multiplicative function
Prime (order theory)
Mathematics
Pure mathematics
Combinatorics
Mathematical analysis
Subject Areas
Rings, Modules, and Algebras
·Algebra and Number Theory ·Physical Sciences
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
Advanced Algebra and Logic
·Computational Theory and Mathematics ·Physical Sciences
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