English

Primitive hyperideals and hyperstructure spaces of hyperrings

Rings and Algebras 2023-01-02 v1

Abstract

We introduce primitive hyperideals of a hyperring R and show relations with R itself, and with maximal and prime hyperideals of R. We endow a Jacobson topology on the set of primitive hyperideals of R and study topological properties of the corresponding hyperstructure space.

Keywords

Cite

@article{arxiv.2212.14770,
  title  = {Primitive hyperideals and hyperstructure spaces of hyperrings},
  author = {Bijan Davvaz and Amartya Goswami and Karin-Therese Howell},
  journal= {arXiv preprint arXiv:2212.14770},
  year   = {2023}
}
R2 v1 2026-06-28T07:57:20.591Z