Primitive hyperideals and hyperstructure spaces of hyperrings

Document Type : Research Paper

Authors

1 Department of Mathematical Sciences, Stellenbosch University, Stellenbosch 7600, South Africa. National Institute for Theoretical and Computational Sciences (NITheCS), South Africa.

2 Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park, 2006, South Africa. National Institute for Theoretical and Computational Sciences (NITheCS), South Africa.

3 Department of Mathematical Sciences, Yazd University, Yazd, Iran.

10.48308/cgasa.2023.234185.1460

Abstract

We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties of the corresponding hyperstructure space.

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References

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Categories and General Algebraic Structures with Applications

Articles in Press, Accepted Manuscript
Available Online from 06 September 2024

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