Primitive hyperideals and hyperstructure spaces of hyperrings
نویسندگان
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.
doi
10.48308/cgasa.2023.234185.1460چکیده
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.
